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Finding the Fourth Proportional to 686.62, 948 and 424.78

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Solution

The fourth proportional to 686.62, 948 and 424.78 is: 586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.62 : 948 = 424.78 : x
  2. Step 2: Convert to fraction form
    686.62/948 = 424.78/x
  3. Step 3: Cross multiply
    686.62x = 948 × 424.78
  4. Step 4: Simplify right side
    686.62x = 402,691.44
  5. Step 5: Solve for x
    x = 402,691.44/686.62
  6. Step 6: Final answer
    x = 586.48

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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.