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Finding the Fourth Proportional to 1,040.75, 1,436.36 and 667.59

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Solution

The fourth proportional to 1,040.75, 1,436.36 and 667.59 is: 921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.75 : 1,436.36 = 667.59 : x
  2. Step 2: Convert to fraction form
    1,040.75/1,436.36 = 667.59/x
  3. Step 3: Cross multiply
    1,040.75x = 1,436.36 × 667.59
  4. Step 4: Simplify right side
    1,040.75x = 958,902.68
  5. Step 5: Solve for x
    x = 958,902.68/1,040.75
  6. Step 6: Final answer
    x = 921.36

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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.