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Finding the Fourth Proportional to 632.97, 871.65 and 563.31

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Solution

The fourth proportional to 632.97, 871.65 and 563.31 is: 775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.97 : 871.65 = 563.31 : x
  2. Step 2: Convert to fraction form
    632.97/871.65 = 563.31/x
  3. Step 3: Cross multiply
    632.97x = 871.65 × 563.31
  4. Step 4: Simplify right side
    632.97x = 491,009.16
  5. Step 5: Solve for x
    x = 491,009.16/632.97
  6. Step 6: Final answer
    x = 775.72

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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.