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Finding the Fourth Proportional to 691.52, 954.31 and 376.80

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Solution

The fourth proportional to 691.52, 954.31 and 376.80 is: 519.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.52 : 954.31 = 376.80 : x
  2. Step 2: Convert to fraction form
    691.52/954.31 = 376.80/x
  3. Step 3: Cross multiply
    691.52x = 954.31 × 376.80
  4. Step 4: Simplify right side
    691.52x = 359,584.01
  5. Step 5: Solve for x
    x = 359,584.01/691.52
  6. Step 6: Final answer
    x = 519.99

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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.