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Finding the Fourth Proportional to 487.23, 729.63 and 324.42

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Solution

The fourth proportional to 487.23, 729.63 and 324.42 is: 485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.23 : 729.63 = 324.42 : x
  2. Step 2: Convert to fraction form
    487.23/729.63 = 324.42/x
  3. Step 3: Cross multiply
    487.23x = 729.63 × 324.42
  4. Step 4: Simplify right side
    487.23x = 236,706.56
  5. Step 5: Solve for x
    x = 236,706.56/487.23
  6. Step 6: Final answer
    x = 485.82

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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.