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Finding the Fourth Proportional to 748.93, 1,120.66 and 440.93

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Solution

The fourth proportional to 748.93, 1,120.66 and 440.93 is: 659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.93 : 1,120.66 = 440.93 : x
  2. Step 2: Convert to fraction form
    748.93/1,120.66 = 440.93/x
  3. Step 3: Cross multiply
    748.93x = 1,120.66 × 440.93
  4. Step 4: Simplify right side
    748.93x = 494,127.01
  5. Step 5: Solve for x
    x = 494,127.01/748.93
  6. Step 6: Final answer
    x = 659.78

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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.