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Finding the Fourth Proportional to 921.67, 1,269.75 and 754.91

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Solution

The fourth proportional to 921.67, 1,269.75 and 754.91 is: 1,040.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.67 : 1,269.75 = 754.91 : x
  2. Step 2: Convert to fraction form
    921.67/1,269.75 = 754.91/x
  3. Step 3: Cross multiply
    921.67x = 1,269.75 × 754.91
  4. Step 4: Simplify right side
    921.67x = 958,546.97
  5. Step 5: Solve for x
    x = 958,546.97/921.67
  6. Step 6: Final answer
    x = 1,040.01

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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.