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Finding the Fourth Proportional to 815.29, 1,220.19 and 506.08

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Solution

The fourth proportional to 815.29, 1,220.19 and 506.08 is: 757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.29 : 1,220.19 = 506.08 : x
  2. Step 2: Convert to fraction form
    815.29/1,220.19 = 506.08/x
  3. Step 3: Cross multiply
    815.29x = 1,220.19 × 506.08
  4. Step 4: Simplify right side
    815.29x = 617,513.76
  5. Step 5: Solve for x
    x = 617,513.76/815.29
  6. Step 6: Final answer
    x = 757.42

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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.