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Finding the Fourth Proportional to 486.80, 729.24 and 324.08

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Solution

The fourth proportional to 486.80, 729.24 and 324.08 is: 485.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.80 : 729.24 = 324.08 : x
  2. Step 2: Convert to fraction form
    486.80/729.24 = 324.08/x
  3. Step 3: Cross multiply
    486.80x = 729.24 × 324.08
  4. Step 4: Simplify right side
    486.80x = 236,332.10
  5. Step 5: Solve for x
    x = 236,332.10/486.80
  6. Step 6: Final answer
    x = 485.48

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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.