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Finding the Fourth Proportional to 477.32, 710.26 and 475.70

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Solution

The fourth proportional to 477.32, 710.26 and 475.70 is: 707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.32 : 710.26 = 475.70 : x
  2. Step 2: Convert to fraction form
    477.32/710.26 = 475.70/x
  3. Step 3: Cross multiply
    477.32x = 710.26 × 475.70
  4. Step 4: Simplify right side
    477.32x = 337,872.47
  5. Step 5: Solve for x
    x = 337,872.47/477.32
  6. Step 6: Final answer
    x = 707.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.