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Finding the Fourth Proportional to 632.88, 871.95 and 475.26

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Solution

The fourth proportional to 632.88, 871.95 and 475.26 is: 654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.88 : 871.95 = 475.26 : x
  2. Step 2: Convert to fraction form
    632.88/871.95 = 475.26/x
  3. Step 3: Cross multiply
    632.88x = 871.95 × 475.26
  4. Step 4: Simplify right side
    632.88x = 414,402.96
  5. Step 5: Solve for x
    x = 414,402.96/632.88
  6. Step 6: Final answer
    x = 654.79

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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.