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Finding the Fourth Proportional to 1,331.58, 1,996.58 and 406.86

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Solution

The fourth proportional to 1,331.58, 1,996.58 and 406.86 is: 610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.58 : 1,996.58 = 406.86 : x
  2. Step 2: Convert to fraction form
    1,331.58/1,996.58 = 406.86/x
  3. Step 3: Cross multiply
    1,331.58x = 1,996.58 × 406.86
  4. Step 4: Simplify right side
    1,331.58x = 812,328.54
  5. Step 5: Solve for x
    x = 812,328.54/1,331.58
  6. Step 6: Final answer
    x = 610.05

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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.