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Finding the Fourth Proportional to 875.24, 1,209.76 and 769.56

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Solution

The fourth proportional to 875.24, 1,209.76 and 769.56 is: 1,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.24 : 1,209.76 = 769.56 : x
  2. Step 2: Convert to fraction form
    875.24/1,209.76 = 769.56/x
  3. Step 3: Cross multiply
    875.24x = 1,209.76 × 769.56
  4. Step 4: Simplify right side
    875.24x = 930,982.91
  5. Step 5: Solve for x
    x = 930,982.91/875.24
  6. Step 6: Final answer
    x = 1,063.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.