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Finding the Fourth Proportional to 747.28, 1,120.92 and 199.45

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Solution

The fourth proportional to 747.28, 1,120.92 and 199.45 is: 299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.28 : 1,120.92 = 199.45 : x
  2. Step 2: Convert to fraction form
    747.28/1,120.92 = 199.45/x
  3. Step 3: Cross multiply
    747.28x = 1,120.92 × 199.45
  4. Step 4: Simplify right side
    747.28x = 223,567.49
  5. Step 5: Solve for x
    x = 223,567.49/747.28
  6. Step 6: Final answer
    x = 299.18

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