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Finding the Fourth Proportional to 720.98, 1,081.62 and 330.96

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Solution

The fourth proportional to 720.98, 1,081.62 and 330.96 is: 496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.98 : 1,081.62 = 330.96 : x
  2. Step 2: Convert to fraction form
    720.98/1,081.62 = 330.96/x
  3. Step 3: Cross multiply
    720.98x = 1,081.62 × 330.96
  4. Step 4: Simplify right side
    720.98x = 357,972.96
  5. Step 5: Solve for x
    x = 357,972.96/720.98
  6. Step 6: Final answer
    x = 496.51

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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.