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Finding the Fourth Proportional to 821.35, 1,231.72 and 301.18

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Solution

The fourth proportional to 821.35, 1,231.72 and 301.18 is: 451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.35 : 1,231.72 = 301.18 : x
  2. Step 2: Convert to fraction form
    821.35/1,231.72 = 301.18/x
  3. Step 3: Cross multiply
    821.35x = 1,231.72 × 301.18
  4. Step 4: Simplify right side
    821.35x = 370,961.77
  5. Step 5: Solve for x
    x = 370,961.77/821.35
  6. Step 6: Final answer
    x = 451.65

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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.