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Finding the Fourth Proportional to 1,200.41, 1,797.27 and 614.15

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Solution

The fourth proportional to 1,200.41, 1,797.27 and 614.15 is: 919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.41 : 1,797.27 = 614.15 : x
  2. Step 2: Convert to fraction form
    1,200.41/1,797.27 = 614.15/x
  3. Step 3: Cross multiply
    1,200.41x = 1,797.27 × 614.15
  4. Step 4: Simplify right side
    1,200.41x = 1,103,784.38
  5. Step 5: Solve for x
    x = 1,103,784.38/1,200.41
  6. Step 6: Final answer
    x = 919.51

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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.