Home / 1,209.45-1,814.07-331.95

Finding the Fourth Proportional to 1,209.45, 1,814.07 and 331.95

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Solution

The fourth proportional to 1,209.45, 1,814.07 and 331.95 is: 497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.45 : 1,814.07 = 331.95 : x
  2. Step 2: Convert to fraction form
    1,209.45/1,814.07 = 331.95/x
  3. Step 3: Cross multiply
    1,209.45x = 1,814.07 × 331.95
  4. Step 4: Simplify right side
    1,209.45x = 602,180.54
  5. Step 5: Solve for x
    x = 602,180.54/1,209.45
  6. Step 6: Final answer
    x = 497.90

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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.