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Finding the Fourth Proportional to 752.78, 1,129.07 and 284.19

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Solution

The fourth proportional to 752.78, 1,129.07 and 284.19 is: 426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.78 : 1,129.07 = 284.19 : x
  2. Step 2: Convert to fraction form
    752.78/1,129.07 = 284.19/x
  3. Step 3: Cross multiply
    752.78x = 1,129.07 × 284.19
  4. Step 4: Simplify right side
    752.78x = 320,868.98
  5. Step 5: Solve for x
    x = 320,868.98/752.78
  6. Step 6: Final answer
    x = 426.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.