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Finding the Fourth Proportional to 748.52, 1,033.46 and 699.26

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Solution

The fourth proportional to 748.52, 1,033.46 and 699.26 is: 965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.52 : 1,033.46 = 699.26 : x
  2. Step 2: Convert to fraction form
    748.52/1,033.46 = 699.26/x
  3. Step 3: Cross multiply
    748.52x = 1,033.46 × 699.26
  4. Step 4: Simplify right side
    748.52x = 722,657.24
  5. Step 5: Solve for x
    x = 722,657.24/748.52
  6. Step 6: Final answer
    x = 965.45

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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.