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Finding the Fourth Proportional to 691.20, 1,036.17 and 252.26

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Solution

The fourth proportional to 691.20, 1,036.17 and 252.26 is: 378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.20 : 1,036.17 = 252.26 : x
  2. Step 2: Convert to fraction form
    691.20/1,036.17 = 252.26/x
  3. Step 3: Cross multiply
    691.20x = 1,036.17 × 252.26
  4. Step 4: Simplify right side
    691.20x = 261,384.24
  5. Step 5: Solve for x
    x = 261,384.24/691.20
  6. Step 6: Final answer
    x = 378.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.