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Finding the Fourth Proportional to 1,387.82, 2,081.75 and 400.66

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Solution

The fourth proportional to 1,387.82, 2,081.75 and 400.66 is: 600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.82 : 2,081.75 = 400.66 : x
  2. Step 2: Convert to fraction form
    1,387.82/2,081.75 = 400.66/x
  3. Step 3: Cross multiply
    1,387.82x = 2,081.75 × 400.66
  4. Step 4: Simplify right side
    1,387.82x = 834,066.75
  5. Step 5: Solve for x
    x = 834,066.75/1,387.82
  6. Step 6: Final answer
    x = 600.99

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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.