Home / 1,227.50-1,841.25-361.80

Finding the Fourth Proportional to 1,227.50, 1,841.25 and 361.80

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Solution

The fourth proportional to 1,227.50, 1,841.25 and 361.80 is: 542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.50 : 1,841.25 = 361.80 : x
  2. Step 2: Convert to fraction form
    1,227.50/1,841.25 = 361.80/x
  3. Step 3: Cross multiply
    1,227.50x = 1,841.25 × 361.80
  4. Step 4: Simplify right side
    1,227.50x = 666,164.25
  5. Step 5: Solve for x
    x = 666,164.25/1,227.50
  6. Step 6: Final answer
    x = 542.70

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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.