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Finding the Fourth Proportional to 1,694.90, 2,542.19 and 540.34

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Solution

The fourth proportional to 1,694.90, 2,542.19 and 540.34 is: 810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.90 : 2,542.19 = 540.34 : x
  2. Step 2: Convert to fraction form
    1,694.90/2,542.19 = 540.34/x
  3. Step 3: Cross multiply
    1,694.90x = 2,542.19 × 540.34
  4. Step 4: Simplify right side
    1,694.90x = 1,373,646.94
  5. Step 5: Solve for x
    x = 1,373,646.94/1,694.90
  6. Step 6: Final answer
    x = 810.46

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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.