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Finding the Fourth Proportional to 1,200.98, 1,800.63 and 614.84

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Solution

The fourth proportional to 1,200.98, 1,800.63 and 614.84 is: 921.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.98 : 1,800.63 = 614.84 : x
  2. Step 2: Convert to fraction form
    1,200.98/1,800.63 = 614.84/x
  3. Step 3: Cross multiply
    1,200.98x = 1,800.63 × 614.84
  4. Step 4: Simplify right side
    1,200.98x = 1,107,100.47
  5. Step 5: Solve for x
    x = 1,107,100.47/1,200.98
  6. Step 6: Final answer
    x = 921.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.