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Finding the Fourth Proportional to 866.38, 1,293.25 and 757.03

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Solution

The fourth proportional to 866.38, 1,293.25 and 757.03 is: 1,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.38 : 1,293.25 = 757.03 : x
  2. Step 2: Convert to fraction form
    866.38/1,293.25 = 757.03/x
  3. Step 3: Cross multiply
    866.38x = 1,293.25 × 757.03
  4. Step 4: Simplify right side
    866.38x = 979,018.80
  5. Step 5: Solve for x
    x = 979,018.80/866.38
  6. Step 6: Final answer
    x = 1,130.02

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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.