Home / 1,282.21-1,923.32-512.71

Finding the Fourth Proportional to 1,282.21, 1,923.32 and 512.71

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Solution

The fourth proportional to 1,282.21, 1,923.32 and 512.71 is: 769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.21 : 1,923.32 = 512.71 : x
  2. Step 2: Convert to fraction form
    1,282.21/1,923.32 = 512.71/x
  3. Step 3: Cross multiply
    1,282.21x = 1,923.32 × 512.71
  4. Step 4: Simplify right side
    1,282.21x = 986,102.83
  5. Step 5: Solve for x
    x = 986,102.83/1,282.21
  6. Step 6: Final answer
    x = 769.07

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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.