Home / 1,282.13-1,923.19-513.17

Finding the Fourth Proportional to 1,282.13, 1,923.19 and 513.17

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Solution

The fourth proportional to 1,282.13, 1,923.19 and 513.17 is: 769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.13 : 1,923.19 = 513.17 : x
  2. Step 2: Convert to fraction form
    1,282.13/1,923.19 = 513.17/x
  3. Step 3: Cross multiply
    1,282.13x = 1,923.19 × 513.17
  4. Step 4: Simplify right side
    1,282.13x = 986,913.80
  5. Step 5: Solve for x
    x = 986,913.80/1,282.13
  6. Step 6: Final answer
    x = 769.75

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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.