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Finding the Fourth Proportional to 680.88, 1,019.70 and 499.44

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Solution

The fourth proportional to 680.88, 1,019.70 and 499.44 is: 747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.88 : 1,019.70 = 499.44 : x
  2. Step 2: Convert to fraction form
    680.88/1,019.70 = 499.44/x
  3. Step 3: Cross multiply
    680.88x = 1,019.70 × 499.44
  4. Step 4: Simplify right side
    680.88x = 509,278.97
  5. Step 5: Solve for x
    x = 509,278.97/680.88
  6. Step 6: Final answer
    x = 747.97

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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.