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Finding the Fourth Proportional to 1,331.13, 1,996.62 and 406.68

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Solution

The fourth proportional to 1,331.13, 1,996.62 and 406.68 is: 610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.13 : 1,996.62 = 406.68 : x
  2. Step 2: Convert to fraction form
    1,331.13/1,996.62 = 406.68/x
  3. Step 3: Cross multiply
    1,331.13x = 1,996.62 × 406.68
  4. Step 4: Simplify right side
    1,331.13x = 811,985.42
  5. Step 5: Solve for x
    x = 811,985.42/1,331.13
  6. Step 6: Final answer
    x = 610.00

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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.