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Finding the Fourth Proportional to 674.15, 1,009.40 and 499.79

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Solution

The fourth proportional to 674.15, 1,009.40 and 499.79 is: 748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.15 : 1,009.40 = 499.79 : x
  2. Step 2: Convert to fraction form
    674.15/1,009.40 = 499.79/x
  3. Step 3: Cross multiply
    674.15x = 1,009.40 × 499.79
  4. Step 4: Simplify right side
    674.15x = 504,488.05
  5. Step 5: Solve for x
    x = 504,488.05/674.15
  6. Step 6: Final answer
    x = 748.34

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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.