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Finding the Fourth Proportional to 824.80, 1,231.96 and 709.56

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Solution

The fourth proportional to 824.80, 1,231.96 and 709.56 is: 1,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.80 : 1,231.96 = 709.56 : x
  2. Step 2: Convert to fraction form
    824.80/1,231.96 = 709.56/x
  3. Step 3: Cross multiply
    824.80x = 1,231.96 × 709.56
  4. Step 4: Simplify right side
    824.80x = 874,149.54
  5. Step 5: Solve for x
    x = 874,149.54/824.80
  6. Step 6: Final answer
    x = 1,059.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.