Home / 1,541.08-2,311.27-445.20

Finding the Fourth Proportional to 1,541.08, 2,311.27 and 445.20

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Solution

The fourth proportional to 1,541.08, 2,311.27 and 445.20 is: 667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.08 : 2,311.27 = 445.20 : x
  2. Step 2: Convert to fraction form
    1,541.08/2,311.27 = 445.20/x
  3. Step 3: Cross multiply
    1,541.08x = 2,311.27 × 445.20
  4. Step 4: Simplify right side
    1,541.08x = 1,028,976.29
  5. Step 5: Solve for x
    x = 1,028,976.29/1,541.08
  6. Step 6: Final answer
    x = 667.70

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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.