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Finding the Fourth Proportional to 1,059.38, 1,589.55 and 539.06

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Solution

The fourth proportional to 1,059.38, 1,589.55 and 539.06 is: 808.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.38 : 1,589.55 = 539.06 : x
  2. Step 2: Convert to fraction form
    1,059.38/1,589.55 = 539.06/x
  3. Step 3: Cross multiply
    1,059.38x = 1,589.55 × 539.06
  4. Step 4: Simplify right side
    1,059.38x = 856,862.82
  5. Step 5: Solve for x
    x = 856,862.82/1,059.38
  6. Step 6: Final answer
    x = 808.83

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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.