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Finding the Fourth Proportional to 1,802.75, 2,487.80 and 974.75

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Solution

The fourth proportional to 1,802.75, 2,487.80 and 974.75 is: 1,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.75 : 2,487.80 = 974.75 : x
  2. Step 2: Convert to fraction form
    1,802.75/2,487.80 = 974.75/x
  3. Step 3: Cross multiply
    1,802.75x = 2,487.80 × 974.75
  4. Step 4: Simplify right side
    1,802.75x = 2,424,978.18
  5. Step 5: Solve for x
    x = 2,424,978.18/1,802.75
  6. Step 6: Final answer
    x = 1,345.16

Related Problems

Find fourth proportional to 901.38, 1,243.90 and 487.38
Half scale
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Double scale
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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.