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Finding the Fourth Proportional to 501.57, 691.89 and 324.39

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Solution

The fourth proportional to 501.57, 691.89 and 324.39 is: 447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.57 : 691.89 = 324.39 : x
  2. Step 2: Convert to fraction form
    501.57/691.89 = 324.39/x
  3. Step 3: Cross multiply
    501.57x = 691.89 × 324.39
  4. Step 4: Simplify right side
    501.57x = 224,442.20
  5. Step 5: Solve for x
    x = 224,442.20/501.57
  6. Step 6: Final answer
    x = 447.48

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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.