Home / 1,022.20-1,529.31-872.07

Finding the Fourth Proportional to 1,022.20, 1,529.31 and 872.07

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Solution

The fourth proportional to 1,022.20, 1,529.31 and 872.07 is: 1,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.20 : 1,529.31 = 872.07 : x
  2. Step 2: Convert to fraction form
    1,022.20/1,529.31 = 872.07/x
  3. Step 3: Cross multiply
    1,022.20x = 1,529.31 × 872.07
  4. Step 4: Simplify right side
    1,022.20x = 1,333,675.81
  5. Step 5: Solve for x
    x = 1,333,675.81/1,022.20
  6. Step 6: Final answer
    x = 1,304.71

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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.