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Finding the Fourth Proportional to 1,344.01, 1,855.37 and 896.62

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Solution

The fourth proportional to 1,344.01, 1,855.37 and 896.62 is: 1,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.01 : 1,855.37 = 896.62 : x
  2. Step 2: Convert to fraction form
    1,344.01/1,855.37 = 896.62/x
  3. Step 3: Cross multiply
    1,344.01x = 1,855.37 × 896.62
  4. Step 4: Simplify right side
    1,344.01x = 1,663,561.85
  5. Step 5: Solve for x
    x = 1,663,561.85/1,344.01
  6. Step 6: Final answer
    x = 1,237.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.