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Finding the Fourth Proportional to 691.40, 954.16 and 411.82

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Solution

The fourth proportional to 691.40, 954.16 and 411.82 is: 568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.40 : 954.16 = 411.82 : x
  2. Step 2: Convert to fraction form
    691.40/954.16 = 411.82/x
  3. Step 3: Cross multiply
    691.40x = 954.16 × 411.82
  4. Step 4: Simplify right side
    691.40x = 392,938.76
  5. Step 5: Solve for x
    x = 392,938.76/691.40
  6. Step 6: Final answer
    x = 568.32

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.