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Finding the Fourth Proportional to 906.12, 1,357.29 and 443.61

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Solution

The fourth proportional to 906.12, 1,357.29 and 443.61 is: 664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.12 : 1,357.29 = 443.61 : x
  2. Step 2: Convert to fraction form
    906.12/1,357.29 = 443.61/x
  3. Step 3: Cross multiply
    906.12x = 1,357.29 × 443.61
  4. Step 4: Simplify right side
    906.12x = 602,107.42
  5. Step 5: Solve for x
    x = 602,107.42/906.12
  6. Step 6: Final answer
    x = 664.49

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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.