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Finding the Fourth Proportional to 817.67, 1,223.46 and 504.20

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Solution

The fourth proportional to 817.67, 1,223.46 and 504.20 is: 754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.67 : 1,223.46 = 504.20 : x
  2. Step 2: Convert to fraction form
    817.67/1,223.46 = 504.20/x
  3. Step 3: Cross multiply
    817.67x = 1,223.46 × 504.20
  4. Step 4: Simplify right side
    817.67x = 616,862.41
  5. Step 5: Solve for x
    x = 616,862.41/817.67
  6. Step 6: Final answer
    x = 754.42

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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.