Home / 1,021.14-1,531.80-318.30

Finding the Fourth Proportional to 1,021.14, 1,531.80 and 318.30

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Solution

The fourth proportional to 1,021.14, 1,531.80 and 318.30 is: 477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.14 : 1,531.80 = 318.30 : x
  2. Step 2: Convert to fraction form
    1,021.14/1,531.80 = 318.30/x
  3. Step 3: Cross multiply
    1,021.14x = 1,531.80 × 318.30
  4. Step 4: Simplify right side
    1,021.14x = 487,571.94
  5. Step 5: Solve for x
    x = 487,571.94/1,021.14
  6. Step 6: Final answer
    x = 477.48

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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.