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Finding the Fourth Proportional to 824.26, 1,138.02 and 637.42

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Solution

The fourth proportional to 824.26, 1,138.02 and 637.42 is: 880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.26 : 1,138.02 = 637.42 : x
  2. Step 2: Convert to fraction form
    824.26/1,138.02 = 637.42/x
  3. Step 3: Cross multiply
    824.26x = 1,138.02 × 637.42
  4. Step 4: Simplify right side
    824.26x = 725,396.71
  5. Step 5: Solve for x
    x = 725,396.71/824.26
  6. Step 6: Final answer
    x = 880.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.