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Finding the Fourth Proportional to 896.26, 1,349.67 and 666.78

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Solution

The fourth proportional to 896.26, 1,349.67 and 666.78 is: 1,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.26 : 1,349.67 = 666.78 : x
  2. Step 2: Convert to fraction form
    896.26/1,349.67 = 666.78/x
  3. Step 3: Cross multiply
    896.26x = 1,349.67 × 666.78
  4. Step 4: Simplify right side
    896.26x = 899,932.96
  5. Step 5: Solve for x
    x = 899,932.96/896.26
  6. Step 6: Final answer
    x = 1,004.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.