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Finding the Fourth Proportional to 686.97, 948.20 and 424.83

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Solution

The fourth proportional to 686.97, 948.20 and 424.83 is: 586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.97 : 948.20 = 424.83 : x
  2. Step 2: Convert to fraction form
    686.97/948.20 = 424.83/x
  3. Step 3: Cross multiply
    686.97x = 948.20 × 424.83
  4. Step 4: Simplify right side
    686.97x = 402,821.68
  5. Step 5: Solve for x
    x = 402,821.68/686.97
  6. Step 6: Final answer
    x = 586.37

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1.5x scale

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.