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Finding the Fourth Proportional to 1,200.26, 1,800.39 and 334.58

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Solution

The fourth proportional to 1,200.26, 1,800.39 and 334.58 is: 501.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.26 : 1,800.39 = 334.58 : x
  2. Step 2: Convert to fraction form
    1,200.26/1,800.39 = 334.58/x
  3. Step 3: Cross multiply
    1,200.26x = 1,800.39 × 334.58
  4. Step 4: Simplify right side
    1,200.26x = 602,365.48
  5. Step 5: Solve for x
    x = 602,365.48/1,200.26
  6. Step 6: Final answer
    x = 501.86

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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.