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Finding the Fourth Proportional to 1,838.59, 2,757.75 and 539.95

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Solution

The fourth proportional to 1,838.59, 2,757.75 and 539.95 is: 809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.59 : 2,757.75 = 539.95 : x
  2. Step 2: Convert to fraction form
    1,838.59/2,757.75 = 539.95/x
  3. Step 3: Cross multiply
    1,838.59x = 2,757.75 × 539.95
  4. Step 4: Simplify right side
    1,838.59x = 1,489,047.11
  5. Step 5: Solve for x
    x = 1,489,047.11/1,838.59
  6. Step 6: Final answer
    x = 809.89

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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.