Home / 1,321.75-1,982.14-590.95

Finding the Fourth Proportional to 1,321.75, 1,982.14 and 590.95

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Solution

The fourth proportional to 1,321.75, 1,982.14 and 590.95 is: 886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.75 : 1,982.14 = 590.95 : x
  2. Step 2: Convert to fraction form
    1,321.75/1,982.14 = 590.95/x
  3. Step 3: Cross multiply
    1,321.75x = 1,982.14 × 590.95
  4. Step 4: Simplify right side
    1,321.75x = 1,171,345.63
  5. Step 5: Solve for x
    x = 1,171,345.63/1,321.75
  6. Step 6: Final answer
    x = 886.21

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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.