Home / 1,022.15-1,531.20-588.80

Finding the Fourth Proportional to 1,022.15, 1,531.20 and 588.80

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Solution

The fourth proportional to 1,022.15, 1,531.20 and 588.80 is: 882.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.15 : 1,531.20 = 588.80 : x
  2. Step 2: Convert to fraction form
    1,022.15/1,531.20 = 588.80/x
  3. Step 3: Cross multiply
    1,022.15x = 1,531.20 × 588.80
  4. Step 4: Simplify right side
    1,022.15x = 901,570.56
  5. Step 5: Solve for x
    x = 901,570.56/1,022.15
  6. Step 6: Final answer
    x = 882.03

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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.