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Finding the Fourth Proportional to 896.49, 1,343.22 and 434.49

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Solution

The fourth proportional to 896.49, 1,343.22 and 434.49 is: 650.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.49 : 1,343.22 = 434.49 : x
  2. Step 2: Convert to fraction form
    896.49/1,343.22 = 434.49/x
  3. Step 3: Cross multiply
    896.49x = 1,343.22 × 434.49
  4. Step 4: Simplify right side
    896.49x = 583,606.77
  5. Step 5: Solve for x
    x = 583,606.77/896.49
  6. Step 6: Final answer
    x = 650.99

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Double scale
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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.