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Finding the Fourth Proportional to 674.61, 1,012.09 and 258.15

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Solution

The fourth proportional to 674.61, 1,012.09 and 258.15 is: 387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.61 : 1,012.09 = 258.15 : x
  2. Step 2: Convert to fraction form
    674.61/1,012.09 = 258.15/x
  3. Step 3: Cross multiply
    674.61x = 1,012.09 × 258.15
  4. Step 4: Simplify right side
    674.61x = 261,266.49
  5. Step 5: Solve for x
    x = 261,266.49/674.61
  6. Step 6: Final answer
    x = 387.28

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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.