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Finding the Fourth Proportional to 475.13, 656.42 and 405.95

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Solution

The fourth proportional to 475.13, 656.42 and 405.95 is: 560.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.13 : 656.42 = 405.95 : x
  2. Step 2: Convert to fraction form
    475.13/656.42 = 405.95/x
  3. Step 3: Cross multiply
    475.13x = 656.42 × 405.95
  4. Step 4: Simplify right side
    475.13x = 266,468.39
  5. Step 5: Solve for x
    x = 266,468.39/475.13
  6. Step 6: Final answer
    x = 560.83

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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.