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Finding the Fourth Proportional to 817.88, 1,125.36 and 748.28

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Solution

The fourth proportional to 817.88, 1,125.36 and 748.28 is: 1,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.88 : 1,125.36 = 748.28 : x
  2. Step 2: Convert to fraction form
    817.88/1,125.36 = 748.28/x
  3. Step 3: Cross multiply
    817.88x = 1,125.36 × 748.28
  4. Step 4: Simplify right side
    817.88x = 842,084.38
  5. Step 5: Solve for x
    x = 842,084.38/817.88
  6. Step 6: Final answer
    x = 1,029.59

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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.