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Finding the Fourth Proportional to 632.75, 872.66 and 475.76

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Solution

The fourth proportional to 632.75, 872.66 and 475.76 is: 656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.75 : 872.66 = 475.76 : x
  2. Step 2: Convert to fraction form
    632.75/872.66 = 475.76/x
  3. Step 3: Cross multiply
    632.75x = 872.66 × 475.76
  4. Step 4: Simplify right side
    632.75x = 415,177.42
  5. Step 5: Solve for x
    x = 415,177.42/632.75
  6. Step 6: Final answer
    x = 656.15

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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.