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Finding the Fourth Proportional to 1,200.84, 1,800.54 and 550.76

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Solution

The fourth proportional to 1,200.84, 1,800.54 and 550.76 is: 825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.84 : 1,800.54 = 550.76 : x
  2. Step 2: Convert to fraction form
    1,200.84/1,800.54 = 550.76/x
  3. Step 3: Cross multiply
    1,200.84x = 1,800.54 × 550.76
  4. Step 4: Simplify right side
    1,200.84x = 991,665.41
  5. Step 5: Solve for x
    x = 991,665.41/1,200.84
  6. Step 6: Final answer
    x = 825.81

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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.