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Finding the Fourth Proportional to 674.11, 1,011.03 and 187.03

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Solution

The fourth proportional to 674.11, 1,011.03 and 187.03 is: 280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.11 : 1,011.03 = 187.03 : x
  2. Step 2: Convert to fraction form
    674.11/1,011.03 = 187.03/x
  3. Step 3: Cross multiply
    674.11x = 1,011.03 × 187.03
  4. Step 4: Simplify right side
    674.11x = 189,092.94
  5. Step 5: Solve for x
    x = 189,092.94/674.11
  6. Step 6: Final answer
    x = 280.51

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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.