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Finding the Fourth Proportional to 691.24, 1,036.16 and 398.36

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Solution

The fourth proportional to 691.24, 1,036.16 and 398.36 is: 597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.24 : 1,036.16 = 398.36 : x
  2. Step 2: Convert to fraction form
    691.24/1,036.16 = 398.36/x
  3. Step 3: Cross multiply
    691.24x = 1,036.16 × 398.36
  4. Step 4: Simplify right side
    691.24x = 412,764.70
  5. Step 5: Solve for x
    x = 412,764.70/691.24
  6. Step 6: Final answer
    x = 597.14

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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.