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Finding the Fourth Proportional to 691.54, 954.31 and 411.91

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Solution

The fourth proportional to 691.54, 954.31 and 411.91 is: 568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.54 : 954.31 = 411.91 : x
  2. Step 2: Convert to fraction form
    691.54/954.31 = 411.91/x
  3. Step 3: Cross multiply
    691.54x = 954.31 × 411.91
  4. Step 4: Simplify right side
    691.54x = 393,089.83
  5. Step 5: Solve for x
    x = 393,089.83/691.54
  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.