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Finding the Fourth Proportional to 686.77, 947.38 and 451.11

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Solution

The fourth proportional to 686.77, 947.38 and 451.11 is: 622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.77 : 947.38 = 451.11 : x
  2. Step 2: Convert to fraction form
    686.77/947.38 = 451.11/x
  3. Step 3: Cross multiply
    686.77x = 947.38 × 451.11
  4. Step 4: Simplify right side
    686.77x = 427,372.59
  5. Step 5: Solve for x
    x = 427,372.59/686.77
  6. Step 6: Final answer
    x = 622.29

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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.