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Finding the Fourth Proportional to 834.96, 1,250.61 and 509.34

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Solution

The fourth proportional to 834.96, 1,250.61 and 509.34 is: 762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.96 : 1,250.61 = 509.34 : x
  2. Step 2: Convert to fraction form
    834.96/1,250.61 = 509.34/x
  3. Step 3: Cross multiply
    834.96x = 1,250.61 × 509.34
  4. Step 4: Simplify right side
    834.96x = 636,979.44
  5. Step 5: Solve for x
    x = 636,979.44/834.96
  6. Step 6: Final answer
    x = 762.89

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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.