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Finding the Fourth Proportional to 477.31, 715.02 and 314.50

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Solution

The fourth proportional to 477.31, 715.02 and 314.50 is: 471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.31 : 715.02 = 314.50 : x
  2. Step 2: Convert to fraction form
    477.31/715.02 = 314.50/x
  3. Step 3: Cross multiply
    477.31x = 715.02 × 314.50
  4. Step 4: Simplify right side
    477.31x = 224,873.79
  5. Step 5: Solve for x
    x = 224,873.79/477.31
  6. Step 6: Final answer
    x = 471.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.