Home / 1,509.25-2,261.82-777.28

Finding the Fourth Proportional to 1,509.25, 2,261.82 and 777.28

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Solution

The fourth proportional to 1,509.25, 2,261.82 and 777.28 is: 1,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.25 : 2,261.82 = 777.28 : x
  2. Step 2: Convert to fraction form
    1,509.25/2,261.82 = 777.28/x
  3. Step 3: Cross multiply
    1,509.25x = 2,261.82 × 777.28
  4. Step 4: Simplify right side
    1,509.25x = 1,758,067.45
  5. Step 5: Solve for x
    x = 1,758,067.45/1,509.25
  6. Step 6: Final answer
    x = 1,164.86

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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.