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Finding the Fourth Proportional to 727.66, 1,003.95 and 517.66

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Solution

The fourth proportional to 727.66, 1,003.95 and 517.66 is: 714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.66 : 1,003.95 = 517.66 : x
  2. Step 2: Convert to fraction form
    727.66/1,003.95 = 517.66/x
  3. Step 3: Cross multiply
    727.66x = 1,003.95 × 517.66
  4. Step 4: Simplify right side
    727.66x = 519,704.76
  5. Step 5: Solve for x
    x = 519,704.76/727.66
  6. Step 6: Final answer
    x = 714.21

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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.