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Finding the Fourth Proportional to 1,100.24, 1,517.76 and 746.18

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Solution

The fourth proportional to 1,100.24, 1,517.76 and 746.18 is: 1,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.24 : 1,517.76 = 746.18 : x
  2. Step 2: Convert to fraction form
    1,100.24/1,517.76 = 746.18/x
  3. Step 3: Cross multiply
    1,100.24x = 1,517.76 × 746.18
  4. Step 4: Simplify right side
    1,100.24x = 1,132,522.16
  5. Step 5: Solve for x
    x = 1,132,522.16/1,100.24
  6. Step 6: Final answer
    x = 1,029.34

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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.