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Finding the Fourth Proportional to 674.38, 1,012.73 and 414.91

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Solution

The fourth proportional to 674.38, 1,012.73 and 414.91 is: 623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.38 : 1,012.73 = 414.91 : x
  2. Step 2: Convert to fraction form
    674.38/1,012.73 = 414.91/x
  3. Step 3: Cross multiply
    674.38x = 1,012.73 × 414.91
  4. Step 4: Simplify right side
    674.38x = 420,191.80
  5. Step 5: Solve for x
    x = 420,191.80/674.38
  6. Step 6: Final answer
    x = 623.08

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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.