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Finding the Fourth Proportional to 674.82, 1,013.51 and 577.49

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Solution

The fourth proportional to 674.82, 1,013.51 and 577.49 is: 867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.82 : 1,013.51 = 577.49 : x
  2. Step 2: Convert to fraction form
    674.82/1,013.51 = 577.49/x
  3. Step 3: Cross multiply
    674.82x = 1,013.51 × 577.49
  4. Step 4: Simplify right side
    674.82x = 585,288.27
  5. Step 5: Solve for x
    x = 585,288.27/674.82
  6. Step 6: Final answer
    x = 867.33

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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.