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Finding the Fourth Proportional to 824.28, 1,234.74 and 499.44

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Solution

The fourth proportional to 824.28, 1,234.74 and 499.44 is: 748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.28 : 1,234.74 = 499.44 : x
  2. Step 2: Convert to fraction form
    824.28/1,234.74 = 499.44/x
  3. Step 3: Cross multiply
    824.28x = 1,234.74 × 499.44
  4. Step 4: Simplify right side
    824.28x = 616,678.55
  5. Step 5: Solve for x
    x = 616,678.55/824.28
  6. Step 6: Final answer
    x = 748.14

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1.5x scale

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.