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Finding the Fourth Proportional to 1,001.67, 1,380.94 and 702.51

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Solution

The fourth proportional to 1,001.67, 1,380.94 and 702.51 is: 968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.67 : 1,380.94 = 702.51 : x
  2. Step 2: Convert to fraction form
    1,001.67/1,380.94 = 702.51/x
  3. Step 3: Cross multiply
    1,001.67x = 1,380.94 × 702.51
  4. Step 4: Simplify right side
    1,001.67x = 970,124.16
  5. Step 5: Solve for x
    x = 970,124.16/1,001.67
  6. Step 6: Final answer
    x = 968.51

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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.