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Finding the Fourth Proportional to 686.91, 948.39 and 477.03

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Solution

The fourth proportional to 686.91, 948.39 and 477.03 is: 658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.91 : 948.39 = 477.03 : x
  2. Step 2: Convert to fraction form
    686.91/948.39 = 477.03/x
  3. Step 3: Cross multiply
    686.91x = 948.39 × 477.03
  4. Step 4: Simplify right side
    686.91x = 452,410.48
  5. Step 5: Solve for x
    x = 452,410.48/686.91
  6. Step 6: Final answer
    x = 658.62

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Double scale
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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.