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Finding the Fourth Proportional to 686.97, 1,028.84 and 541.71

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Solution

The fourth proportional to 686.97, 1,028.84 and 541.71 is: 811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.97 : 1,028.84 = 541.71 : x
  2. Step 2: Convert to fraction form
    686.97/1,028.84 = 541.71/x
  3. Step 3: Cross multiply
    686.97x = 1,028.84 × 541.71
  4. Step 4: Simplify right side
    686.97x = 557,330.21
  5. Step 5: Solve for x
    x = 557,330.21/686.97
  6. Step 6: Final answer
    x = 811.29

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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.