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Finding the Fourth Proportional to 485.20, 726.16 and 443.08

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Solution

The fourth proportional to 485.20, 726.16 and 443.08 is: 663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.20 : 726.16 = 443.08 : x
  2. Step 2: Convert to fraction form
    485.20/726.16 = 443.08/x
  3. Step 3: Cross multiply
    485.20x = 726.16 × 443.08
  4. Step 4: Simplify right side
    485.20x = 321,746.97
  5. Step 5: Solve for x
    x = 321,746.97/485.20
  6. Step 6: Final answer
    x = 663.12

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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.