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Finding the Fourth Proportional to 1,200.39, 1,800.56 and 298.80

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Solution

The fourth proportional to 1,200.39, 1,800.56 and 298.80 is: 448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.39 : 1,800.56 = 298.80 : x
  2. Step 2: Convert to fraction form
    1,200.39/1,800.56 = 298.80/x
  3. Step 3: Cross multiply
    1,200.39x = 1,800.56 × 298.80
  4. Step 4: Simplify right side
    1,200.39x = 538,005.83
  5. Step 5: Solve for x
    x = 538,005.83/1,200.39
  6. Step 6: Final answer
    x = 448.19

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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.