Home / 1,020.95-1,531.37-318.15

Finding the Fourth Proportional to 1,020.95, 1,531.37 and 318.15

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Solution

The fourth proportional to 1,020.95, 1,531.37 and 318.15 is: 477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.95 : 1,531.37 = 318.15 : x
  2. Step 2: Convert to fraction form
    1,020.95/1,531.37 = 318.15/x
  3. Step 3: Cross multiply
    1,020.95x = 1,531.37 × 318.15
  4. Step 4: Simplify right side
    1,020.95x = 487,205.37
  5. Step 5: Solve for x
    x = 487,205.37/1,020.95
  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.