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Finding the Fourth Proportional to 749.44, 1,122.61 and 440.35

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Solution

The fourth proportional to 749.44, 1,122.61 and 440.35 is: 659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.44 : 1,122.61 = 440.35 : x
  2. Step 2: Convert to fraction form
    749.44/1,122.61 = 440.35/x
  3. Step 3: Cross multiply
    749.44x = 1,122.61 × 440.35
  4. Step 4: Simplify right side
    749.44x = 494,341.31
  5. Step 5: Solve for x
    x = 494,341.31/749.44
  6. Step 6: Final answer
    x = 659.61

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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.