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Finding the Fourth Proportional to 1,144.70, 1,575.54 and 996.50

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Solution

The fourth proportional to 1,144.70, 1,575.54 and 996.50 is: 1,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.70 : 1,575.54 = 996.50 : x
  2. Step 2: Convert to fraction form
    1,144.70/1,575.54 = 996.50/x
  3. Step 3: Cross multiply
    1,144.70x = 1,575.54 × 996.50
  4. Step 4: Simplify right side
    1,144.70x = 1,570,025.61
  5. Step 5: Solve for x
    x = 1,570,025.61/1,144.70
  6. Step 6: Final answer
    x = 1,371.56

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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.