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Finding the Fourth Proportional to 477.73, 715.38 and 314.92

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Solution

The fourth proportional to 477.73, 715.38 and 314.92 is: 471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.73 : 715.38 = 314.92 : x
  2. Step 2: Convert to fraction form
    477.73/715.38 = 314.92/x
  3. Step 3: Cross multiply
    477.73x = 715.38 × 314.92
  4. Step 4: Simplify right side
    477.73x = 225,287.47
  5. Step 5: Solve for x
    x = 225,287.47/477.73
  6. Step 6: Final answer
    x = 471.58

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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.