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Finding the Fourth Proportional to 866.78, 1,293.84 and 752.04

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Solution

The fourth proportional to 866.78, 1,293.84 and 752.04 is: 1,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.78 : 1,293.84 = 752.04 : x
  2. Step 2: Convert to fraction form
    866.78/1,293.84 = 752.04/x
  3. Step 3: Cross multiply
    866.78x = 1,293.84 × 752.04
  4. Step 4: Simplify right side
    866.78x = 973,019.43
  5. Step 5: Solve for x
    x = 973,019.43/866.78
  6. Step 6: Final answer
    x = 1,122.57

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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.