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Finding the Fourth Proportional to 748.19, 1,119.08 and 728.28

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Solution

The fourth proportional to 748.19, 1,119.08 and 728.28 is: 1,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.19 : 1,119.08 = 728.28 : x
  2. Step 2: Convert to fraction form
    748.19/1,119.08 = 728.28/x
  3. Step 3: Cross multiply
    748.19x = 1,119.08 × 728.28
  4. Step 4: Simplify right side
    748.19x = 815,005.40
  5. Step 5: Solve for x
    x = 815,005.40/748.19
  6. Step 6: Final answer
    x = 1,089.30

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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.