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Finding the Fourth Proportional to 896.13, 1,344.49 and 279.90

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Solution

The fourth proportional to 896.13, 1,344.49 and 279.90 is: 419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.13 : 1,344.49 = 279.90 : x
  2. Step 2: Convert to fraction form
    896.13/1,344.49 = 279.90/x
  3. Step 3: Cross multiply
    896.13x = 1,344.49 × 279.90
  4. Step 4: Simplify right side
    896.13x = 376,322.05
  5. Step 5: Solve for x
    x = 376,322.05/896.13
  6. Step 6: Final answer
    x = 419.94

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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.