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Finding the Fourth Proportional to 486.13, 728.92 and 332.23

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Solution

The fourth proportional to 486.13, 728.92 and 332.23 is: 498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.13 : 728.92 = 332.23 : x
  2. Step 2: Convert to fraction form
    486.13/728.92 = 332.23/x
  3. Step 3: Cross multiply
    486.13x = 728.92 × 332.23
  4. Step 4: Simplify right side
    486.13x = 242,167.94
  5. Step 5: Solve for x
    x = 242,167.94/486.13
  6. Step 6: Final answer
    x = 498.16

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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.