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Finding the Fourth Proportional to 824.48, 1,236.32 and 564.88

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Solution

The fourth proportional to 824.48, 1,236.32 and 564.88 is: 847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.48 : 1,236.32 = 564.88 : x
  2. Step 2: Convert to fraction form
    824.48/1,236.32 = 564.88/x
  3. Step 3: Cross multiply
    824.48x = 1,236.32 × 564.88
  4. Step 4: Simplify right side
    824.48x = 698,372.44
  5. Step 5: Solve for x
    x = 698,372.44/824.48
  6. Step 6: Final answer
    x = 847.05

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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.