Home / 1,509.18-2,260.44-779.46

Finding the Fourth Proportional to 1,509.18, 2,260.44 and 779.46

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Solution

The fourth proportional to 1,509.18, 2,260.44 and 779.46 is: 1,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.18 : 2,260.44 = 779.46 : x
  2. Step 2: Convert to fraction form
    1,509.18/2,260.44 = 779.46/x
  3. Step 3: Cross multiply
    1,509.18x = 2,260.44 × 779.46
  4. Step 4: Simplify right side
    1,509.18x = 1,761,922.56
  5. Step 5: Solve for x
    x = 1,761,922.56/1,509.18
  6. Step 6: Final answer
    x = 1,167.47

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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.