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Finding the Fourth Proportional to 632.42, 944.34 and 517.08

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Solution

The fourth proportional to 632.42, 944.34 and 517.08 is: 772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.42 : 944.34 = 517.08 : x
  2. Step 2: Convert to fraction form
    632.42/944.34 = 517.08/x
  3. Step 3: Cross multiply
    632.42x = 944.34 × 517.08
  4. Step 4: Simplify right side
    632.42x = 488,299.33
  5. Step 5: Solve for x
    x = 488,299.33/632.42
  6. Step 6: Final answer
    x = 772.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.