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Finding the Fourth Proportional to 686.62, 1,024.85 and 600.46

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Solution

The fourth proportional to 686.62, 1,024.85 and 600.46 is: 896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.62 : 1,024.85 = 600.46 : x
  2. Step 2: Convert to fraction form
    686.62/1,024.85 = 600.46/x
  3. Step 3: Cross multiply
    686.62x = 1,024.85 × 600.46
  4. Step 4: Simplify right side
    686.62x = 615,381.43
  5. Step 5: Solve for x
    x = 615,381.43/686.62
  6. Step 6: Final answer
    x = 896.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.