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Finding the Fourth Proportional to 691.57, 954.42 and 396.93

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Solution

The fourth proportional to 691.57, 954.42 and 396.93 is: 547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.57 : 954.42 = 396.93 : x
  2. Step 2: Convert to fraction form
    691.57/954.42 = 396.93/x
  3. Step 3: Cross multiply
    691.57x = 954.42 × 396.93
  4. Step 4: Simplify right side
    691.57x = 378,835.95
  5. Step 5: Solve for x
    x = 378,835.95/691.57
  6. Step 6: Final answer
    x = 547.80

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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.