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Finding the Fourth Proportional to 814.90, 1,222.20 and 506.20

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Solution

The fourth proportional to 814.90, 1,222.20 and 506.20 is: 759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.90 : 1,222.20 = 506.20 : x
  2. Step 2: Convert to fraction form
    814.90/1,222.20 = 506.20/x
  3. Step 3: Cross multiply
    814.90x = 1,222.20 × 506.20
  4. Step 4: Simplify right side
    814.90x = 618,677.64
  5. Step 5: Solve for x
    x = 618,677.64/814.90
  6. Step 6: Final answer
    x = 759.21

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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.