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Finding the Fourth Proportional to 1,059.34, 1,589.09 and 365.72

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Solution

The fourth proportional to 1,059.34, 1,589.09 and 365.72 is: 548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.34 : 1,589.09 = 365.72 : x
  2. Step 2: Convert to fraction form
    1,059.34/1,589.09 = 365.72/x
  3. Step 3: Cross multiply
    1,059.34x = 1,589.09 × 365.72
  4. Step 4: Simplify right side
    1,059.34x = 581,168.71
  5. Step 5: Solve for x
    x = 581,168.71/1,059.34
  6. Step 6: Final answer
    x = 548.62

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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.