Home / 1,020.44-1,531.74-655.96

Finding the Fourth Proportional to 1,020.44, 1,531.74 and 655.96

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Solution

The fourth proportional to 1,020.44, 1,531.74 and 655.96 is: 984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.44 : 1,531.74 = 655.96 : x
  2. Step 2: Convert to fraction form
    1,020.44/1,531.74 = 655.96/x
  3. Step 3: Cross multiply
    1,020.44x = 1,531.74 × 655.96
  4. Step 4: Simplify right side
    1,020.44x = 1,004,760.17
  5. Step 5: Solve for x
    x = 1,004,760.17/1,020.44
  6. Step 6: Final answer
    x = 984.63

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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.