Home / 2,228.49-3,342.28-767.75

Finding the Fourth Proportional to 2,228.49, 3,342.28 and 767.75

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Solution

The fourth proportional to 2,228.49, 3,342.28 and 767.75 is: 1,151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.49 : 3,342.28 = 767.75 : x
  2. Step 2: Convert to fraction form
    2,228.49/3,342.28 = 767.75/x
  3. Step 3: Cross multiply
    2,228.49x = 3,342.28 × 767.75
  4. Step 4: Simplify right side
    2,228.49x = 2,566,035.47
  5. Step 5: Solve for x
    x = 2,566,035.47/2,228.49
  6. Step 6: Final answer
    x = 1,151.47

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1.5x scale

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.