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Finding the Fourth Proportional to 475.52, 711.84 and 421.76

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Solution

The fourth proportional to 475.52, 711.84 and 421.76 is: 631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.52 : 711.84 = 421.76 : x
  2. Step 2: Convert to fraction form
    475.52/711.84 = 421.76/x
  3. Step 3: Cross multiply
    475.52x = 711.84 × 421.76
  4. Step 4: Simplify right side
    475.52x = 300,225.64
  5. Step 5: Solve for x
    x = 300,225.64/475.52
  6. Step 6: Final answer
    x = 631.36

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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.