Home / 1,020.79-1,531.32-327.23

Finding the Fourth Proportional to 1,020.79, 1,531.32 and 327.23

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Solution

The fourth proportional to 1,020.79, 1,531.32 and 327.23 is: 490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.79 : 1,531.32 = 327.23 : x
  2. Step 2: Convert to fraction form
    1,020.79/1,531.32 = 327.23/x
  3. Step 3: Cross multiply
    1,020.79x = 1,531.32 × 327.23
  4. Step 4: Simplify right side
    1,020.79x = 501,089.93
  5. Step 5: Solve for x
    x = 501,089.93/1,020.79
  6. Step 6: Final answer
    x = 490.88

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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.