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Finding the Fourth Proportional to 485.62, 729.84 and 324.42

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Solution

The fourth proportional to 485.62, 729.84 and 324.42 is: 487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.62 : 729.84 = 324.42 : x
  2. Step 2: Convert to fraction form
    485.62/729.84 = 324.42/x
  3. Step 3: Cross multiply
    485.62x = 729.84 × 324.42
  4. Step 4: Simplify right side
    485.62x = 236,774.69
  5. Step 5: Solve for x
    x = 236,774.69/485.62
  6. Step 6: Final answer
    x = 487.57

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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.