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Finding the Fourth Proportional to 475.43, 711.66 and 360.31

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Solution

The fourth proportional to 475.43, 711.66 and 360.31 is: 539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.43 : 711.66 = 360.31 : x
  2. Step 2: Convert to fraction form
    475.43/711.66 = 360.31/x
  3. Step 3: Cross multiply
    475.43x = 711.66 × 360.31
  4. Step 4: Simplify right side
    475.43x = 256,414.66
  5. Step 5: Solve for x
    x = 256,414.66/475.43
  6. Step 6: Final answer
    x = 539.33

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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.