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Finding the Fourth Proportional to 686.54, 947.46 and 424.56

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Solution

The fourth proportional to 686.54, 947.46 and 424.56 is: 585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.54 : 947.46 = 424.56 : x
  2. Step 2: Convert to fraction form
    686.54/947.46 = 424.56/x
  3. Step 3: Cross multiply
    686.54x = 947.46 × 424.56
  4. Step 4: Simplify right side
    686.54x = 402,253.62
  5. Step 5: Solve for x
    x = 402,253.62/686.54
  6. Step 6: Final answer
    x = 585.91

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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.