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Finding the Fourth Proportional to 1,387.72, 2,081.80 and 694.44

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Solution

The fourth proportional to 1,387.72, 2,081.80 and 694.44 is: 1,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.72 : 2,081.80 = 694.44 : x
  2. Step 2: Convert to fraction form
    1,387.72/2,081.80 = 694.44/x
  3. Step 3: Cross multiply
    1,387.72x = 2,081.80 × 694.44
  4. Step 4: Simplify right side
    1,387.72x = 1,445,685.19
  5. Step 5: Solve for x
    x = 1,445,685.19/1,387.72
  6. Step 6: Final answer
    x = 1,041.77

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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.