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Finding the Fourth Proportional to 1,362.71, 2,043.63 and 540.74

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Solution

The fourth proportional to 1,362.71, 2,043.63 and 540.74 is: 810.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.71 : 2,043.63 = 540.74 : x
  2. Step 2: Convert to fraction form
    1,362.71/2,043.63 = 540.74/x
  3. Step 3: Cross multiply
    1,362.71x = 2,043.63 × 540.74
  4. Step 4: Simplify right side
    1,362.71x = 1,105,072.49
  5. Step 5: Solve for x
    x = 1,105,072.49/1,362.71
  6. Step 6: Final answer
    x = 810.94

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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.