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Finding the Fourth Proportional to 2,263.20, 3,393.78 and 702.74

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Solution

The fourth proportional to 2,263.20, 3,393.78 and 702.74 is: 1,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.20 : 3,393.78 = 702.74 : x
  2. Step 2: Convert to fraction form
    2,263.20/3,393.78 = 702.74/x
  3. Step 3: Cross multiply
    2,263.20x = 3,393.78 × 702.74
  4. Step 4: Simplify right side
    2,263.20x = 2,384,960.44
  5. Step 5: Solve for x
    x = 2,384,960.44/2,263.20
  6. Step 6: Final answer
    x = 1,053.80

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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.