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Finding the Fourth Proportional to 834.33, 1,250.02 and 711.35

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Solution

The fourth proportional to 834.33, 1,250.02 and 711.35 is: 1,065.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.33 : 1,250.02 = 711.35 : x
  2. Step 2: Convert to fraction form
    834.33/1,250.02 = 711.35/x
  3. Step 3: Cross multiply
    834.33x = 1,250.02 × 711.35
  4. Step 4: Simplify right side
    834.33x = 889,197.05
  5. Step 5: Solve for x
    x = 889,197.05/834.33
  6. Step 6: Final answer
    x = 1,065.76

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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.