Home / 1,462.28-2,194.32-769.45

Finding the Fourth Proportional to 1,462.28, 2,194.32 and 769.45

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Solution

The fourth proportional to 1,462.28, 2,194.32 and 769.45 is: 1,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.28 : 2,194.32 = 769.45 : x
  2. Step 2: Convert to fraction form
    1,462.28/2,194.32 = 769.45/x
  3. Step 3: Cross multiply
    1,462.28x = 2,194.32 × 769.45
  4. Step 4: Simplify right side
    1,462.28x = 1,688,414.04
  5. Step 5: Solve for x
    x = 1,688,414.04/1,462.28
  6. Step 6: Final answer
    x = 1,154.64

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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.