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Finding the Fourth Proportional to 2,254.82, 3,381.65 and 694.41

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Solution

The fourth proportional to 2,254.82, 3,381.65 and 694.41 is: 1,041.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.82 : 3,381.65 = 694.41 : x
  2. Step 2: Convert to fraction form
    2,254.82/3,381.65 = 694.41/x
  3. Step 3: Cross multiply
    2,254.82x = 3,381.65 × 694.41
  4. Step 4: Simplify right side
    2,254.82x = 2,348,269.49
  5. Step 5: Solve for x
    x = 2,348,269.49/2,254.82
  6. Step 6: Final answer
    x = 1,041.45

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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.