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Finding the Fourth Proportional to 674.72, 1,012.08 and 284.61

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Solution

The fourth proportional to 674.72, 1,012.08 and 284.61 is: 426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.72 : 1,012.08 = 284.61 : x
  2. Step 2: Convert to fraction form
    674.72/1,012.08 = 284.61/x
  3. Step 3: Cross multiply
    674.72x = 1,012.08 × 284.61
  4. Step 4: Simplify right side
    674.72x = 288,048.09
  5. Step 5: Solve for x
    x = 288,048.09/674.72
  6. Step 6: Final answer
    x = 426.92

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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.