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Finding the Fourth Proportional to 892.93, 1,339.86 and 405.92

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Solution

The fourth proportional to 892.93, 1,339.86 and 405.92 is: 609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.93 : 1,339.86 = 405.92 : x
  2. Step 2: Convert to fraction form
    892.93/1,339.86 = 405.92/x
  3. Step 3: Cross multiply
    892.93x = 1,339.86 × 405.92
  4. Step 4: Simplify right side
    892.93x = 543,873.94
  5. Step 5: Solve for x
    x = 543,873.94/892.93
  6. Step 6: Final answer
    x = 609.09

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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.