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Finding the Fourth Proportional to 680.29, 937.97 and 575.19

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Solution

The fourth proportional to 680.29, 937.97 and 575.19 is: 793.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.29 : 937.97 = 575.19 : x
  2. Step 2: Convert to fraction form
    680.29/937.97 = 575.19/x
  3. Step 3: Cross multiply
    680.29x = 937.97 × 575.19
  4. Step 4: Simplify right side
    680.29x = 539,510.96
  5. Step 5: Solve for x
    x = 539,510.96/680.29
  6. Step 6: Final answer
    x = 793.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.