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Finding the Fourth Proportional to 823.52, 1,236.32 and 499.52

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Solution

The fourth proportional to 823.52, 1,236.32 and 499.52 is: 749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.52 : 1,236.32 = 499.52 : x
  2. Step 2: Convert to fraction form
    823.52/1,236.32 = 499.52/x
  3. Step 3: Cross multiply
    823.52x = 1,236.32 × 499.52
  4. Step 4: Simplify right side
    823.52x = 617,566.57
  5. Step 5: Solve for x
    x = 617,566.57/823.52
  6. Step 6: Final answer
    x = 749.91

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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.