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Finding the Fourth Proportional to 892.91, 1,339.56 and 406.10

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Solution

The fourth proportional to 892.91, 1,339.56 and 406.10 is: 609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.91 : 1,339.56 = 406.10 : x
  2. Step 2: Convert to fraction form
    892.91/1,339.56 = 406.10/x
  3. Step 3: Cross multiply
    892.91x = 1,339.56 × 406.10
  4. Step 4: Simplify right side
    892.91x = 543,988.62
  5. Step 5: Solve for x
    x = 543,988.62/892.91
  6. Step 6: Final answer
    x = 609.23

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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.