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Finding the Fourth Proportional to 824.59, 1,231.01 and 795.76

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Solution

The fourth proportional to 824.59, 1,231.01 and 795.76 is: 1,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.59 : 1,231.01 = 795.76 : x
  2. Step 2: Convert to fraction form
    824.59/1,231.01 = 795.76/x
  3. Step 3: Cross multiply
    824.59x = 1,231.01 × 795.76
  4. Step 4: Simplify right side
    824.59x = 979,581.46
  5. Step 5: Solve for x
    x = 979,581.46/824.59
  6. Step 6: Final answer
    x = 1,187.96

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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.