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Finding the Fourth Proportional to 834.29, 1,250.75 and 509.54

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Solution

The fourth proportional to 834.29, 1,250.75 and 509.54 is: 763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.29 : 1,250.75 = 509.54 : x
  2. Step 2: Convert to fraction form
    834.29/1,250.75 = 509.54/x
  3. Step 3: Cross multiply
    834.29x = 1,250.75 × 509.54
  4. Step 4: Simplify right side
    834.29x = 637,311.56
  5. Step 5: Solve for x
    x = 637,311.56/834.29
  6. Step 6: Final answer
    x = 763.90

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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.