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Finding the Fourth Proportional to 821.89, 1,232.45 and 301.76

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Solution

The fourth proportional to 821.89, 1,232.45 and 301.76 is: 452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.89 : 1,232.45 = 301.76 : x
  2. Step 2: Convert to fraction form
    821.89/1,232.45 = 301.76/x
  3. Step 3: Cross multiply
    821.89x = 1,232.45 × 301.76
  4. Step 4: Simplify right side
    821.89x = 371,904.11
  5. Step 5: Solve for x
    x = 371,904.11/821.89
  6. Step 6: Final answer
    x = 452.50

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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.