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Finding the Fourth Proportional to 632.68, 944.75 and 517.35

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Solution

The fourth proportional to 632.68, 944.75 and 517.35 is: 772.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.68 : 944.75 = 517.35 : x
  2. Step 2: Convert to fraction form
    632.68/944.75 = 517.35/x
  3. Step 3: Cross multiply
    632.68x = 944.75 × 517.35
  4. Step 4: Simplify right side
    632.68x = 488,766.41
  5. Step 5: Solve for x
    x = 488,766.41/632.68
  6. Step 6: Final answer
    x = 772.53

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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.