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Finding the Fourth Proportional to 1,059.37, 1,589.19 and 443.50

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Solution

The fourth proportional to 1,059.37, 1,589.19 and 443.50 is: 665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.37 : 1,589.19 = 443.50 : x
  2. Step 2: Convert to fraction form
    1,059.37/1,589.19 = 443.50/x
  3. Step 3: Cross multiply
    1,059.37x = 1,589.19 × 443.50
  4. Step 4: Simplify right side
    1,059.37x = 704,805.77
  5. Step 5: Solve for x
    x = 704,805.77/1,059.37
  6. Step 6: Final answer
    x = 665.31

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Double scale
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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.