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Finding the Fourth Proportional to 514.92, 710.54 and 282.04

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Solution

The fourth proportional to 514.92, 710.54 and 282.04 is: 389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.92 : 710.54 = 282.04 : x
  2. Step 2: Convert to fraction form
    514.92/710.54 = 282.04/x
  3. Step 3: Cross multiply
    514.92x = 710.54 × 282.04
  4. Step 4: Simplify right side
    514.92x = 200,400.70
  5. Step 5: Solve for x
    x = 200,400.70/514.92
  6. Step 6: Final answer
    x = 389.19

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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.