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Finding the Fourth Proportional to 1,642.75, 2,266.95 and 896.73

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Solution

The fourth proportional to 1,642.75, 2,266.95 and 896.73 is: 1,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.75 : 2,266.95 = 896.73 : x
  2. Step 2: Convert to fraction form
    1,642.75/2,266.95 = 896.73/x
  3. Step 3: Cross multiply
    1,642.75x = 2,266.95 × 896.73
  4. Step 4: Simplify right side
    1,642.75x = 2,032,836.94
  5. Step 5: Solve for x
    x = 2,032,836.94/1,642.75
  6. Step 6: Final answer
    x = 1,237.46

Related Problems

Find fourth proportional to 821.38, 1,133.48 and 448.36
Half scale
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Double scale
Find fourth proportional to 1,643.75, 2,268.33 and 897.73
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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.