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Finding the Fourth Proportional to 824.24, 1,234.20 and 803.60

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Solution

The fourth proportional to 824.24, 1,234.20 and 803.60 is: 1,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.24 : 1,234.20 = 803.60 : x
  2. Step 2: Convert to fraction form
    824.24/1,234.20 = 803.60/x
  3. Step 3: Cross multiply
    824.24x = 1,234.20 × 803.60
  4. Step 4: Simplify right side
    824.24x = 991,803.12
  5. Step 5: Solve for x
    x = 991,803.12/824.24
  6. Step 6: Final answer
    x = 1,203.29

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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.