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Finding the Fourth Proportional to 674.55, 1,010.48 and 519.94

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Solution

The fourth proportional to 674.55, 1,010.48 and 519.94 is: 778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.55 : 1,010.48 = 519.94 : x
  2. Step 2: Convert to fraction form
    674.55/1,010.48 = 519.94/x
  3. Step 3: Cross multiply
    674.55x = 1,010.48 × 519.94
  4. Step 4: Simplify right side
    674.55x = 525,388.97
  5. Step 5: Solve for x
    x = 525,388.97/674.55
  6. Step 6: Final answer
    x = 778.87

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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.