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Finding the Fourth Proportional to 557.52, 769.20 and 324.56

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Solution

The fourth proportional to 557.52, 769.20 and 324.56 is: 447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.52 : 769.20 = 324.56 : x
  2. Step 2: Convert to fraction form
    557.52/769.20 = 324.56/x
  3. Step 3: Cross multiply
    557.52x = 769.20 × 324.56
  4. Step 4: Simplify right side
    557.52x = 249,651.55
  5. Step 5: Solve for x
    x = 249,651.55/557.52
  6. Step 6: Final answer
    x = 447.79

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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.