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Finding the Fourth Proportional to 834.78, 1,250.54 and 719.22

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Solution

The fourth proportional to 834.78, 1,250.54 and 719.22 is: 1,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.78 : 1,250.54 = 719.22 : x
  2. Step 2: Convert to fraction form
    834.78/1,250.54 = 719.22/x
  3. Step 3: Cross multiply
    834.78x = 1,250.54 × 719.22
  4. Step 4: Simplify right side
    834.78x = 899,413.38
  5. Step 5: Solve for x
    x = 899,413.38/834.78
  6. Step 6: Final answer
    x = 1,077.43

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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.