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Finding the Fourth Proportional to 1,344.26, 2,012.72 and 906.20

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Solution

The fourth proportional to 1,344.26, 2,012.72 and 906.20 is: 1,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.26 : 2,012.72 = 906.20 : x
  2. Step 2: Convert to fraction form
    1,344.26/2,012.72 = 906.20/x
  3. Step 3: Cross multiply
    1,344.26x = 2,012.72 × 906.20
  4. Step 4: Simplify right side
    1,344.26x = 1,823,926.86
  5. Step 5: Solve for x
    x = 1,823,926.86/1,344.26
  6. Step 6: Final answer
    x = 1,356.83

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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.