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Finding the Fourth Proportional to 475.39, 656.67 and 387.91

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Solution

The fourth proportional to 475.39, 656.67 and 387.91 is: 535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.39 : 656.67 = 387.91 : x
  2. Step 2: Convert to fraction form
    475.39/656.67 = 387.91/x
  3. Step 3: Cross multiply
    475.39x = 656.67 × 387.91
  4. Step 4: Simplify right side
    475.39x = 254,728.86
  5. Step 5: Solve for x
    x = 254,728.86/475.39
  6. Step 6: Final answer
    x = 535.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.