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Finding the Fourth Proportional to 686.43, 946.89 and 406.62

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Solution

The fourth proportional to 686.43, 946.89 and 406.62 is: 560.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.43 : 946.89 = 406.62 : x
  2. Step 2: Convert to fraction form
    686.43/946.89 = 406.62/x
  3. Step 3: Cross multiply
    686.43x = 946.89 × 406.62
  4. Step 4: Simplify right side
    686.43x = 385,024.41
  5. Step 5: Solve for x
    x = 385,024.41/686.43
  6. Step 6: Final answer
    x = 560.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.