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Finding the Fourth Proportional to 896.11, 1,343.44 and 383.47

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Solution

The fourth proportional to 896.11, 1,343.44 and 383.47 is: 574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.11 : 1,343.44 = 383.47 : x
  2. Step 2: Convert to fraction form
    896.11/1,343.44 = 383.47/x
  3. Step 3: Cross multiply
    896.11x = 1,343.44 × 383.47
  4. Step 4: Simplify right side
    896.11x = 515,168.94
  5. Step 5: Solve for x
    x = 515,168.94/896.11
  6. Step 6: Final answer
    x = 574.89

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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.