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Finding the Fourth Proportional to 1,648.44, 2,473.30 and 991.56

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Solution

The fourth proportional to 1,648.44, 2,473.30 and 991.56 is: 1,487.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.44 : 2,473.30 = 991.56 : x
  2. Step 2: Convert to fraction form
    1,648.44/2,473.30 = 991.56/x
  3. Step 3: Cross multiply
    1,648.44x = 2,473.30 × 991.56
  4. Step 4: Simplify right side
    1,648.44x = 2,452,425.35
  5. Step 5: Solve for x
    x = 2,452,425.35/1,648.44
  6. Step 6: Final answer
    x = 1,487.72

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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.