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Finding the Fourth Proportional to 1,074.72, 1,612.08 and 1,049.12

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Solution

The fourth proportional to 1,074.72, 1,612.08 and 1,049.12 is: 1,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.72 : 1,612.08 = 1,049.12 : x
  2. Step 2: Convert to fraction form
    1,074.72/1,612.08 = 1,049.12/x
  3. Step 3: Cross multiply
    1,074.72x = 1,612.08 × 1,049.12
  4. Step 4: Simplify right side
    1,074.72x = 1,691,265.37
  5. Step 5: Solve for x
    x = 1,691,265.37/1,074.72
  6. Step 6: Final answer
    x = 1,573.68

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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.