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Finding the Fourth Proportional to 896.27, 1,343.94 and 434.11

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Solution

The fourth proportional to 896.27, 1,343.94 and 434.11 is: 650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.27 : 1,343.94 = 434.11 : x
  2. Step 2: Convert to fraction form
    896.27/1,343.94 = 434.11/x
  3. Step 3: Cross multiply
    896.27x = 1,343.94 × 434.11
  4. Step 4: Simplify right side
    896.27x = 583,417.77
  5. Step 5: Solve for x
    x = 583,417.77/896.27
  6. Step 6: Final answer
    x = 650.94

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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.