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Finding the Fourth Proportional to 1,233.92, 1,702.86 and 674.44

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Solution

The fourth proportional to 1,233.92, 1,702.86 and 674.44 is: 930.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.92 : 1,702.86 = 674.44 : x
  2. Step 2: Convert to fraction form
    1,233.92/1,702.86 = 674.44/x
  3. Step 3: Cross multiply
    1,233.92x = 1,702.86 × 674.44
  4. Step 4: Simplify right side
    1,233.92x = 1,148,479.69
  5. Step 5: Solve for x
    x = 1,148,479.69/1,233.92
  6. Step 6: Final answer
    x = 930.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.