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Finding the Fourth Proportional to 906.38, 1,352.72 and 818.90

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Solution

The fourth proportional to 906.38, 1,352.72 and 818.90 is: 1,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.38 : 1,352.72 = 818.90 : x
  2. Step 2: Convert to fraction form
    906.38/1,352.72 = 818.90/x
  3. Step 3: Cross multiply
    906.38x = 1,352.72 × 818.90
  4. Step 4: Simplify right side
    906.38x = 1,107,731.55
  5. Step 5: Solve for x
    x = 1,107,731.55/906.38
  6. Step 6: Final answer
    x = 1,222.16

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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.