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Finding the Fourth Proportional to 821.50, 1,234.07 and 795.58

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Solution

The fourth proportional to 821.50, 1,234.07 and 795.58 is: 1,195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.50 : 1,234.07 = 795.58 : x
  2. Step 2: Convert to fraction form
    821.50/1,234.07 = 795.58/x
  3. Step 3: Cross multiply
    821.50x = 1,234.07 × 795.58
  4. Step 4: Simplify right side
    821.50x = 981,797.33
  5. Step 5: Solve for x
    x = 981,797.33/821.50
  6. Step 6: Final answer
    x = 1,195.13

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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.