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Finding the Fourth Proportional to 475.40, 711.89 and 421.13

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Solution

The fourth proportional to 475.40, 711.89 and 421.13 is: 630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.40 : 711.89 = 421.13 : x
  2. Step 2: Convert to fraction form
    475.40/711.89 = 421.13/x
  3. Step 3: Cross multiply
    475.40x = 711.89 × 421.13
  4. Step 4: Simplify right side
    475.40x = 299,796.13
  5. Step 5: Solve for x
    x = 299,796.13/475.40
  6. Step 6: Final answer
    x = 630.62

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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.