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Finding the Fourth Proportional to 678.60, 1,016.97 and 495.14

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Solution

The fourth proportional to 678.60, 1,016.97 and 495.14 is: 742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.60 : 1,016.97 = 495.14 : x
  2. Step 2: Convert to fraction form
    678.60/1,016.97 = 495.14/x
  3. Step 3: Cross multiply
    678.60x = 1,016.97 × 495.14
  4. Step 4: Simplify right side
    678.60x = 503,537.44
  5. Step 5: Solve for x
    x = 503,537.44/678.60
  6. Step 6: Final answer
    x = 742.02

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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.