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Finding the Fourth Proportional to 1,059.78, 1,589.77 and 539.56

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Solution

The fourth proportional to 1,059.78, 1,589.77 and 539.56 is: 809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.78 : 1,589.77 = 539.56 : x
  2. Step 2: Convert to fraction form
    1,059.78/1,589.77 = 539.56/x
  3. Step 3: Cross multiply
    1,059.78x = 1,589.77 × 539.56
  4. Step 4: Simplify right side
    1,059.78x = 857,768.35
  5. Step 5: Solve for x
    x = 857,768.35/1,059.78
  6. Step 6: Final answer
    x = 809.38

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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.