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Finding the Fourth Proportional to 691.38, 953.94 and 411.72

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Solution

The fourth proportional to 691.38, 953.94 and 411.72 is: 568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.38 : 953.94 = 411.72 : x
  2. Step 2: Convert to fraction form
    691.38/953.94 = 411.72/x
  3. Step 3: Cross multiply
    691.38x = 953.94 × 411.72
  4. Step 4: Simplify right side
    691.38x = 392,754.39
  5. Step 5: Solve for x
    x = 392,754.39/691.38
  6. Step 6: Final answer
    x = 568.07

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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.