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Finding the Fourth Proportional to 686.79, 1,029.96 and 361.98

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Solution

The fourth proportional to 686.79, 1,029.96 and 361.98 is: 542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.79 : 1,029.96 = 361.98 : x
  2. Step 2: Convert to fraction form
    686.79/1,029.96 = 361.98/x
  3. Step 3: Cross multiply
    686.79x = 1,029.96 × 361.98
  4. Step 4: Simplify right side
    686.79x = 372,824.92
  5. Step 5: Solve for x
    x = 372,824.92/686.79
  6. Step 6: Final answer
    x = 542.85

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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.