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Finding the Fourth Proportional to 632.31, 945.62 and 484.11

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Solution

The fourth proportional to 632.31, 945.62 and 484.11 is: 723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.31 : 945.62 = 484.11 : x
  2. Step 2: Convert to fraction form
    632.31/945.62 = 484.11/x
  3. Step 3: Cross multiply
    632.31x = 945.62 × 484.11
  4. Step 4: Simplify right side
    632.31x = 457,781.68
  5. Step 5: Solve for x
    x = 457,781.68/632.31
  6. Step 6: Final answer
    x = 723.98

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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.