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Finding the Fourth Proportional to 686.74, 947.46 and 424.66

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Solution

The fourth proportional to 686.74, 947.46 and 424.66 is: 585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.74 : 947.46 = 424.66 : x
  2. Step 2: Convert to fraction form
    686.74/947.46 = 424.66/x
  3. Step 3: Cross multiply
    686.74x = 947.46 × 424.66
  4. Step 4: Simplify right side
    686.74x = 402,348.36
  5. Step 5: Solve for x
    x = 402,348.36/686.74
  6. Step 6: Final answer
    x = 585.88

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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.