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Finding the Fourth Proportional to 691.86, 954.59 and 411.91

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Solution

The fourth proportional to 691.86, 954.59 and 411.91 is: 568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.86 : 954.59 = 411.91 : x
  2. Step 2: Convert to fraction form
    691.86/954.59 = 411.91/x
  3. Step 3: Cross multiply
    691.86x = 954.59 × 411.91
  4. Step 4: Simplify right side
    691.86x = 393,206.20
  5. Step 5: Solve for x
    x = 393,206.20/691.86
  6. Step 6: Final answer
    x = 568.34

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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.