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Finding the Fourth Proportional to 815.72, 1,225.16 and 698.85

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Solution

The fourth proportional to 815.72, 1,225.16 and 698.85 is: 1,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.72 : 1,225.16 = 698.85 : x
  2. Step 2: Convert to fraction form
    815.72/1,225.16 = 698.85/x
  3. Step 3: Cross multiply
    815.72x = 1,225.16 × 698.85
  4. Step 4: Simplify right side
    815.72x = 856,204.16
  5. Step 5: Solve for x
    x = 856,204.16/815.72
  6. Step 6: Final answer
    x = 1,049.63

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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.