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Finding the Fourth Proportional to 1,463.57, 2,196.22 and 539.78

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Solution

The fourth proportional to 1,463.57, 2,196.22 and 539.78 is: 809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.57 : 2,196.22 = 539.78 : x
  2. Step 2: Convert to fraction form
    1,463.57/2,196.22 = 539.78/x
  3. Step 3: Cross multiply
    1,463.57x = 2,196.22 × 539.78
  4. Step 4: Simplify right side
    1,463.57x = 1,185,471.49
  5. Step 5: Solve for x
    x = 1,185,471.49/1,463.57
  6. Step 6: Final answer
    x = 809.99

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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.