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Finding the Fourth Proportional to 686.88, 1,030.14 and 542.70

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Solution

The fourth proportional to 686.88, 1,030.14 and 542.70 is: 813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.88 : 1,030.14 = 542.70 : x
  2. Step 2: Convert to fraction form
    686.88/1,030.14 = 542.70/x
  3. Step 3: Cross multiply
    686.88x = 1,030.14 × 542.70
  4. Step 4: Simplify right side
    686.88x = 559,056.98
  5. Step 5: Solve for x
    x = 559,056.98/686.88
  6. Step 6: Final answer
    x = 813.91

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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.