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Finding the Fourth Proportional to 892.68, 1,340.07 and 406.77

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Solution

The fourth proportional to 892.68, 1,340.07 and 406.77 is: 610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.68 : 1,340.07 = 406.77 : x
  2. Step 2: Convert to fraction form
    892.68/1,340.07 = 406.77/x
  3. Step 3: Cross multiply
    892.68x = 1,340.07 × 406.77
  4. Step 4: Simplify right side
    892.68x = 545,100.27
  5. Step 5: Solve for x
    x = 545,100.27/892.68
  6. Step 6: Final answer
    x = 610.63

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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.