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Finding the Fourth Proportional to 691.66, 954.49 and 411.90

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Solution

The fourth proportional to 691.66, 954.49 and 411.90 is: 568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.66 : 954.49 = 411.90 : x
  2. Step 2: Convert to fraction form
    691.66/954.49 = 411.90/x
  3. Step 3: Cross multiply
    691.66x = 954.49 × 411.90
  4. Step 4: Simplify right side
    691.66x = 393,156.82
  5. Step 5: Solve for x
    x = 393,156.82/691.66
  6. Step 6: Final answer
    x = 568.43

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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.