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Finding the Fourth Proportional to 748.97, 1,033.71 and 563.39

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Solution

The fourth proportional to 748.97, 1,033.71 and 563.39 is: 777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.97 : 1,033.71 = 563.39 : x
  2. Step 2: Convert to fraction form
    748.97/1,033.71 = 563.39/x
  3. Step 3: Cross multiply
    748.97x = 1,033.71 × 563.39
  4. Step 4: Simplify right side
    748.97x = 582,381.88
  5. Step 5: Solve for x
    x = 582,381.88/748.97
  6. Step 6: Final answer
    x = 777.58

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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.