Home / 1,165.38-1,748.67-580.44

Finding the Fourth Proportional to 1,165.38, 1,748.67 and 580.44

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Solution

The fourth proportional to 1,165.38, 1,748.67 and 580.44 is: 870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.38 : 1,748.67 = 580.44 : x
  2. Step 2: Convert to fraction form
    1,165.38/1,748.67 = 580.44/x
  3. Step 3: Cross multiply
    1,165.38x = 1,748.67 × 580.44
  4. Step 4: Simplify right side
    1,165.38x = 1,014,998.01
  5. Step 5: Solve for x
    x = 1,014,998.01/1,165.38
  6. Step 6: Final answer
    x = 870.96

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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.