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Finding the Fourth Proportional to 720.50, 1,081.94 and 396.09

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Solution

The fourth proportional to 720.50, 1,081.94 and 396.09 is: 594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.50 : 1,081.94 = 396.09 : x
  2. Step 2: Convert to fraction form
    720.50/1,081.94 = 396.09/x
  3. Step 3: Cross multiply
    720.50x = 1,081.94 × 396.09
  4. Step 4: Simplify right side
    720.50x = 428,543.63
  5. Step 5: Solve for x
    x = 428,543.63/720.50
  6. Step 6: Final answer
    x = 594.79

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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.