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Finding the Fourth Proportional to 748.75, 1,115.68 and 666.96

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Solution

The fourth proportional to 748.75, 1,115.68 and 666.96 is: 993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.75 : 1,115.68 = 666.96 : x
  2. Step 2: Convert to fraction form
    748.75/1,115.68 = 666.96/x
  3. Step 3: Cross multiply
    748.75x = 1,115.68 × 666.96
  4. Step 4: Simplify right side
    748.75x = 744,113.93
  5. Step 5: Solve for x
    x = 744,113.93/748.75
  6. Step 6: Final answer
    x = 993.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.