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Finding the Fourth Proportional to 815.80, 1,222.14 and 506.20

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Solution

The fourth proportional to 815.80, 1,222.14 and 506.20 is: 758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.80 : 1,222.14 = 506.20 : x
  2. Step 2: Convert to fraction form
    815.80/1,222.14 = 506.20/x
  3. Step 3: Cross multiply
    815.80x = 1,222.14 × 506.20
  4. Step 4: Simplify right side
    815.80x = 618,647.27
  5. Step 5: Solve for x
    x = 618,647.27/815.80
  6. Step 6: Final answer
    x = 758.33

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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.