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Finding the Fourth Proportional to 475.42, 713.36 and 353.92

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Solution

The fourth proportional to 475.42, 713.36 and 353.92 is: 531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.42 : 713.36 = 353.92 : x
  2. Step 2: Convert to fraction form
    475.42/713.36 = 353.92/x
  3. Step 3: Cross multiply
    475.42x = 713.36 × 353.92
  4. Step 4: Simplify right side
    475.42x = 252,470.82
  5. Step 5: Solve for x
    x = 252,470.82/475.42
  6. Step 6: Final answer
    x = 531.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.