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Finding the Fourth Proportional to 1,221.69, 1,833.27 and 702.34

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Solution

The fourth proportional to 1,221.69, 1,833.27 and 702.34 is: 1,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.69 : 1,833.27 = 702.34 : x
  2. Step 2: Convert to fraction form
    1,221.69/1,833.27 = 702.34/x
  3. Step 3: Cross multiply
    1,221.69x = 1,833.27 × 702.34
  4. Step 4: Simplify right side
    1,221.69x = 1,287,578.85
  5. Step 5: Solve for x
    x = 1,287,578.85/1,221.69
  6. Step 6: Final answer
    x = 1,053.93

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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.