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Finding the Fourth Proportional to 720.57, 1,081.34 and 396.17

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Solution

The fourth proportional to 720.57, 1,081.34 and 396.17 is: 594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.57 : 1,081.34 = 396.17 : x
  2. Step 2: Convert to fraction form
    720.57/1,081.34 = 396.17/x
  3. Step 3: Cross multiply
    720.57x = 1,081.34 × 396.17
  4. Step 4: Simplify right side
    720.57x = 428,387.08
  5. Step 5: Solve for x
    x = 428,387.08/720.57
  6. Step 6: Final answer
    x = 594.51

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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.