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Finding the Fourth Proportional to 485.53, 726.17 and 279.59

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Solution

The fourth proportional to 485.53, 726.17 and 279.59 is: 418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.53 : 726.17 = 279.59 : x
  2. Step 2: Convert to fraction form
    485.53/726.17 = 279.59/x
  3. Step 3: Cross multiply
    485.53x = 726.17 × 279.59
  4. Step 4: Simplify right side
    485.53x = 203,024.84
  5. Step 5: Solve for x
    x = 203,024.84/485.53
  6. Step 6: Final answer
    x = 418.15

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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.