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Finding the Fourth Proportional to 797.47, 1,100.14 and 517.71

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Solution

The fourth proportional to 797.47, 1,100.14 and 517.71 is: 714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.47 : 1,100.14 = 517.71 : x
  2. Step 2: Convert to fraction form
    797.47/1,100.14 = 517.71/x
  3. Step 3: Cross multiply
    797.47x = 1,100.14 × 517.71
  4. Step 4: Simplify right side
    797.47x = 569,553.48
  5. Step 5: Solve for x
    x = 569,553.48/797.47
  6. Step 6: Final answer
    x = 714.20

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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.