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Finding the Fourth Proportional to 674.38, 1,009.99 and 519.07

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Solution

The fourth proportional to 674.38, 1,009.99 and 519.07 is: 777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.38 : 1,009.99 = 519.07 : x
  2. Step 2: Convert to fraction form
    674.38/1,009.99 = 519.07/x
  3. Step 3: Cross multiply
    674.38x = 1,009.99 × 519.07
  4. Step 4: Simplify right side
    674.38x = 524,257.42
  5. Step 5: Solve for x
    x = 524,257.42/674.38
  6. Step 6: Final answer
    x = 777.39

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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.