Home / 1,321.06-1,981.07-590.14

Finding the Fourth Proportional to 1,321.06, 1,981.07 and 590.14

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Solution

The fourth proportional to 1,321.06, 1,981.07 and 590.14 is: 884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.06 : 1,981.07 = 590.14 : x
  2. Step 2: Convert to fraction form
    1,321.06/1,981.07 = 590.14/x
  3. Step 3: Cross multiply
    1,321.06x = 1,981.07 × 590.14
  4. Step 4: Simplify right side
    1,321.06x = 1,169,105.70
  5. Step 5: Solve for x
    x = 1,169,105.70/1,321.06
  6. Step 6: Final answer
    x = 884.98

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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.