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Finding the Fourth Proportional to 824.62, 1,231.05 and 795.79

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Solution

The fourth proportional to 824.62, 1,231.05 and 795.79 is: 1,188.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.62 : 1,231.05 = 795.79 : x
  2. Step 2: Convert to fraction form
    824.62/1,231.05 = 795.79/x
  3. Step 3: Cross multiply
    824.62x = 1,231.05 × 795.79
  4. Step 4: Simplify right side
    824.62x = 979,652.13
  5. Step 5: Solve for x
    x = 979,652.13/824.62
  6. Step 6: Final answer
    x = 1,188.01

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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.