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Finding the Fourth Proportional to 915.01, 1,372.11 and 824.56

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Solution

The fourth proportional to 915.01, 1,372.11 and 824.56 is: 1,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.01 : 1,372.11 = 824.56 : x
  2. Step 2: Convert to fraction form
    915.01/1,372.11 = 824.56/x
  3. Step 3: Cross multiply
    915.01x = 1,372.11 × 824.56
  4. Step 4: Simplify right side
    915.01x = 1,131,387.02
  5. Step 5: Solve for x
    x = 1,131,387.02/915.01
  6. Step 6: Final answer
    x = 1,236.48

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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.