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Finding the Fourth Proportional to 1,033.73, 1,425.39 and 702.33

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Solution

The fourth proportional to 1,033.73, 1,425.39 and 702.33 is: 968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.73 : 1,425.39 = 702.33 : x
  2. Step 2: Convert to fraction form
    1,033.73/1,425.39 = 702.33/x
  3. Step 3: Cross multiply
    1,033.73x = 1,425.39 × 702.33
  4. Step 4: Simplify right side
    1,033.73x = 1,001,094.16
  5. Step 5: Solve for x
    x = 1,001,094.16/1,033.73
  6. Step 6: Final answer
    x = 968.43

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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.