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Finding the Fourth Proportional to 686.93, 1,029.18 and 572.11

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Solution

The fourth proportional to 686.93, 1,029.18 and 572.11 is: 857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.93 : 1,029.18 = 572.11 : x
  2. Step 2: Convert to fraction form
    686.93/1,029.18 = 572.11/x
  3. Step 3: Cross multiply
    686.93x = 1,029.18 × 572.11
  4. Step 4: Simplify right side
    686.93x = 588,799.02
  5. Step 5: Solve for x
    x = 588,799.02/686.93
  6. Step 6: Final answer
    x = 857.15

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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.