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Finding the Fourth Proportional to 686.82, 948.10 and 451.10

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Solution

The fourth proportional to 686.82, 948.10 and 451.10 is: 622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.82 : 948.10 = 451.10 : x
  2. Step 2: Convert to fraction form
    686.82/948.10 = 451.10/x
  3. Step 3: Cross multiply
    686.82x = 948.10 × 451.10
  4. Step 4: Simplify right side
    686.82x = 427,687.91
  5. Step 5: Solve for x
    x = 427,687.91/686.82
  6. Step 6: Final answer
    x = 622.71

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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.