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Finding the Fourth Proportional to 721.53, 1,084.12 and 699.66

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Solution

The fourth proportional to 721.53, 1,084.12 and 699.66 is: 1,051.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.53 : 1,084.12 = 699.66 : x
  2. Step 2: Convert to fraction form
    721.53/1,084.12 = 699.66/x
  3. Step 3: Cross multiply
    721.53x = 1,084.12 × 699.66
  4. Step 4: Simplify right side
    721.53x = 758,513.65
  5. Step 5: Solve for x
    x = 758,513.65/721.53
  6. Step 6: Final answer
    x = 1,051.26

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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.