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Finding the Fourth Proportional to 1,200.33, 1,800.09 and 470.12

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Solution

The fourth proportional to 1,200.33, 1,800.09 and 470.12 is: 705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.33 : 1,800.09 = 470.12 : x
  2. Step 2: Convert to fraction form
    1,200.33/1,800.09 = 470.12/x
  3. Step 3: Cross multiply
    1,200.33x = 1,800.09 × 470.12
  4. Step 4: Simplify right side
    1,200.33x = 846,258.31
  5. Step 5: Solve for x
    x = 846,258.31/1,200.33
  6. Step 6: Final answer
    x = 705.02

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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.