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Finding the Fourth Proportional to 723.70, 1,077.84 and 698.19

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Solution

The fourth proportional to 723.70, 1,077.84 and 698.19 is: 1,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.70 : 1,077.84 = 698.19 : x
  2. Step 2: Convert to fraction form
    723.70/1,077.84 = 698.19/x
  3. Step 3: Cross multiply
    723.70x = 1,077.84 × 698.19
  4. Step 4: Simplify right side
    723.70x = 752,537.11
  5. Step 5: Solve for x
    x = 752,537.11/723.70
  6. Step 6: Final answer
    x = 1,039.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.