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Finding the Fourth Proportional to 1,200.50, 1,800.01 and 469.22

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Solution

The fourth proportional to 1,200.50, 1,800.01 and 469.22 is: 703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.50 : 1,800.01 = 469.22 : x
  2. Step 2: Convert to fraction form
    1,200.50/1,800.01 = 469.22/x
  3. Step 3: Cross multiply
    1,200.50x = 1,800.01 × 469.22
  4. Step 4: Simplify right side
    1,200.50x = 844,604.02
  5. Step 5: Solve for x
    x = 844,604.02/1,200.50
  6. Step 6: Final answer
    x = 703.54

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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.