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Finding the Fourth Proportional to 905.29, 1,352.17 and 818.48

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Solution

The fourth proportional to 905.29, 1,352.17 and 818.48 is: 1,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.29 : 1,352.17 = 818.48 : x
  2. Step 2: Convert to fraction form
    905.29/1,352.17 = 818.48/x
  3. Step 3: Cross multiply
    905.29x = 1,352.17 × 818.48
  4. Step 4: Simplify right side
    905.29x = 1,106,724.10
  5. Step 5: Solve for x
    x = 1,106,724.10/905.29
  6. Step 6: Final answer
    x = 1,222.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.