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Finding the Fourth Proportional to 749.15, 1,120.98 and 441.15

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Solution

The fourth proportional to 749.15, 1,120.98 and 441.15 is: 660.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.15 : 1,120.98 = 441.15 : x
  2. Step 2: Convert to fraction form
    749.15/1,120.98 = 441.15/x
  3. Step 3: Cross multiply
    749.15x = 1,120.98 × 441.15
  4. Step 4: Simplify right side
    749.15x = 494,520.33
  5. Step 5: Solve for x
    x = 494,520.33/749.15
  6. Step 6: Final answer
    x = 660.11

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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.