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Finding the Fourth Proportional to 686.59, 1,029.68 and 361.78

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Solution

The fourth proportional to 686.59, 1,029.68 and 361.78 is: 542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.59 : 1,029.68 = 361.78 : x
  2. Step 2: Convert to fraction form
    686.59/1,029.68 = 361.78/x
  3. Step 3: Cross multiply
    686.59x = 1,029.68 × 361.78
  4. Step 4: Simplify right side
    686.59x = 372,514.60
  5. Step 5: Solve for x
    x = 372,514.60/686.59
  6. Step 6: Final answer
    x = 542.56

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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.