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Finding the Fourth Proportional to 721.98, 1,077.99 and 709.22

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Solution

The fourth proportional to 721.98, 1,077.99 and 709.22 is: 1,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.98 : 1,077.99 = 709.22 : x
  2. Step 2: Convert to fraction form
    721.98/1,077.99 = 709.22/x
  3. Step 3: Cross multiply
    721.98x = 1,077.99 × 709.22
  4. Step 4: Simplify right side
    721.98x = 764,536.09
  5. Step 5: Solve for x
    x = 764,536.09/721.98
  6. Step 6: Final answer
    x = 1,058.94

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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.