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Finding the Fourth Proportional to 1,642.75, 2,266.78 and 979.68

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Solution

The fourth proportional to 1,642.75, 2,266.78 and 979.68 is: 1,351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.75 : 2,266.78 = 979.68 : x
  2. Step 2: Convert to fraction form
    1,642.75/2,266.78 = 979.68/x
  3. Step 3: Cross multiply
    1,642.75x = 2,266.78 × 979.68
  4. Step 4: Simplify right side
    1,642.75x = 2,220,719.03
  5. Step 5: Solve for x
    x = 2,220,719.03/1,642.75
  6. Step 6: Final answer
    x = 1,351.83

Related Problems

Find fourth proportional to 821.38, 1,133.39 and 489.84
Half scale
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Double scale
Find fourth proportional to 1,643.75, 2,268.16 and 980.68
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.