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Finding the Fourth Proportional to 1,201.09, 1,801.92 and 470.47

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Solution

The fourth proportional to 1,201.09, 1,801.92 and 470.47 is: 705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.09 : 1,801.92 = 470.47 : x
  2. Step 2: Convert to fraction form
    1,201.09/1,801.92 = 470.47/x
  3. Step 3: Cross multiply
    1,201.09x = 1,801.92 × 470.47
  4. Step 4: Simplify right side
    1,201.09x = 847,749.30
  5. Step 5: Solve for x
    x = 847,749.30/1,201.09
  6. Step 6: Final answer
    x = 705.82

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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.