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Finding the Fourth Proportional to 1,694.78, 2,542.14 and 540.50

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Solution

The fourth proportional to 1,694.78, 2,542.14 and 540.50 is: 810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.78 : 2,542.14 = 540.50 : x
  2. Step 2: Convert to fraction form
    1,694.78/2,542.14 = 540.50/x
  3. Step 3: Cross multiply
    1,694.78x = 2,542.14 × 540.50
  4. Step 4: Simplify right side
    1,694.78x = 1,374,026.67
  5. Step 5: Solve for x
    x = 1,374,026.67/1,694.78
  6. Step 6: Final answer
    x = 810.74

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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.