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Finding the Fourth Proportional to 477.62, 715.22 and 400.38

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Solution

The fourth proportional to 477.62, 715.22 and 400.38 is: 599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.62 : 715.22 = 400.38 : x
  2. Step 2: Convert to fraction form
    477.62/715.22 = 400.38/x
  3. Step 3: Cross multiply
    477.62x = 715.22 × 400.38
  4. Step 4: Simplify right side
    477.62x = 286,359.78
  5. Step 5: Solve for x
    x = 286,359.78/477.62
  6. Step 6: Final answer
    x = 599.56

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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.