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Finding the Fourth Proportional to 1,200.49, 1,800.83 and 378.81

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Solution

The fourth proportional to 1,200.49, 1,800.83 and 378.81 is: 568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.49 : 1,800.83 = 378.81 : x
  2. Step 2: Convert to fraction form
    1,200.49/1,800.83 = 378.81/x
  3. Step 3: Cross multiply
    1,200.49x = 1,800.83 × 378.81
  4. Step 4: Simplify right side
    1,200.49x = 682,172.41
  5. Step 5: Solve for x
    x = 682,172.41/1,200.49
  6. Step 6: Final answer
    x = 568.24

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1.5x scale

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.