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Finding the Fourth Proportional to 836.96, 1,253.61 and 511.34

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Solution

The fourth proportional to 836.96, 1,253.61 and 511.34 is: 765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.96 : 1,253.61 = 511.34 : x
  2. Step 2: Convert to fraction form
    836.96/1,253.61 = 511.34/x
  3. Step 3: Cross multiply
    836.96x = 1,253.61 × 511.34
  4. Step 4: Simplify right side
    836.96x = 641,014.67
  5. Step 5: Solve for x
    x = 641,014.67/836.96
  6. Step 6: Final answer
    x = 765.89

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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.