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Finding the Fourth Proportional to 844.40, 1,264.20 and 748.40

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Solution

The fourth proportional to 844.40, 1,264.20 and 748.40 is: 1,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.40 : 1,264.20 = 748.40 : x
  2. Step 2: Convert to fraction form
    844.40/1,264.20 = 748.40/x
  3. Step 3: Cross multiply
    844.40x = 1,264.20 × 748.40
  4. Step 4: Simplify right side
    844.40x = 946,127.28
  5. Step 5: Solve for x
    x = 946,127.28/844.40
  6. Step 6: Final answer
    x = 1,120.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.