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Finding the Fourth Proportional to 896.10, 1,343.45 and 427.33

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Solution

The fourth proportional to 896.10, 1,343.45 and 427.33 is: 640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.10 : 1,343.45 = 427.33 : x
  2. Step 2: Convert to fraction form
    896.10/1,343.45 = 427.33/x
  3. Step 3: Cross multiply
    896.10x = 1,343.45 × 427.33
  4. Step 4: Simplify right side
    896.10x = 574,096.49
  5. Step 5: Solve for x
    x = 574,096.49/896.10
  6. Step 6: Final answer
    x = 640.66

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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.