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Finding the Fourth Proportional to 815.76, 1,122.93 and 806.04

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Solution

The fourth proportional to 815.76, 1,122.93 and 806.04 is: 1,109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.76 : 1,122.93 = 806.04 : x
  2. Step 2: Convert to fraction form
    815.76/1,122.93 = 806.04/x
  3. Step 3: Cross multiply
    815.76x = 1,122.93 × 806.04
  4. Step 4: Simplify right side
    815.76x = 905,126.50
  5. Step 5: Solve for x
    x = 905,126.50/815.76
  6. Step 6: Final answer
    x = 1,109.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.