Home / 1,020.92-1,531.38-318.14

Finding the Fourth Proportional to 1,020.92, 1,531.38 and 318.14

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Solution

The fourth proportional to 1,020.92, 1,531.38 and 318.14 is: 477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.92 : 1,531.38 = 318.14 : x
  2. Step 2: Convert to fraction form
    1,020.92/1,531.38 = 318.14/x
  3. Step 3: Cross multiply
    1,020.92x = 1,531.38 × 318.14
  4. Step 4: Simplify right side
    1,020.92x = 487,193.23
  5. Step 5: Solve for x
    x = 487,193.23/1,020.92
  6. Step 6: Final answer
    x = 477.21

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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.