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Finding the Fourth Proportional to 913.26, 1,366.22 and 809.36

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Solution

The fourth proportional to 913.26, 1,366.22 and 809.36 is: 1,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.26 : 1,366.22 = 809.36 : x
  2. Step 2: Convert to fraction form
    913.26/1,366.22 = 809.36/x
  3. Step 3: Cross multiply
    913.26x = 1,366.22 × 809.36
  4. Step 4: Simplify right side
    913.26x = 1,105,763.82
  5. Step 5: Solve for x
    x = 1,105,763.82/913.26
  6. Step 6: Final answer
    x = 1,210.79

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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.