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Finding the Fourth Proportional to 721.15, 1,079.49 and 583.04

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Solution

The fourth proportional to 721.15, 1,079.49 and 583.04 is: 872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.15 : 1,079.49 = 583.04 : x
  2. Step 2: Convert to fraction form
    721.15/1,079.49 = 583.04/x
  3. Step 3: Cross multiply
    721.15x = 1,079.49 × 583.04
  4. Step 4: Simplify right side
    721.15x = 629,385.85
  5. Step 5: Solve for x
    x = 629,385.85/721.15
  6. Step 6: Final answer
    x = 872.75

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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.