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Finding the Fourth Proportional to 688.77, 1,032.14 and 542.87

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Solution

The fourth proportional to 688.77, 1,032.14 and 542.87 is: 813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.77 : 1,032.14 = 542.87 : x
  2. Step 2: Convert to fraction form
    688.77/1,032.14 = 542.87/x
  3. Step 3: Cross multiply
    688.77x = 1,032.14 × 542.87
  4. Step 4: Simplify right side
    688.77x = 560,317.91
  5. Step 5: Solve for x
    x = 560,317.91/688.77
  6. Step 6: Final answer
    x = 813.51

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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.