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Finding the Fourth Proportional to 632.20, 871.96 and 474.88

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Solution

The fourth proportional to 632.20, 871.96 and 474.88 is: 654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.20 : 871.96 = 474.88 : x
  2. Step 2: Convert to fraction form
    632.20/871.96 = 474.88/x
  3. Step 3: Cross multiply
    632.20x = 871.96 × 474.88
  4. Step 4: Simplify right side
    632.20x = 414,076.36
  5. Step 5: Solve for x
    x = 414,076.36/632.20
  6. Step 6: Final answer
    x = 654.98

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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.