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Finding the Fourth Proportional to 1,362.16, 2,043.24 and 540.38

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Solution

The fourth proportional to 1,362.16, 2,043.24 and 540.38 is: 810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.16 : 2,043.24 = 540.38 : x
  2. Step 2: Convert to fraction form
    1,362.16/2,043.24 = 540.38/x
  3. Step 3: Cross multiply
    1,362.16x = 2,043.24 × 540.38
  4. Step 4: Simplify right side
    1,362.16x = 1,104,131.14
  5. Step 5: Solve for x
    x = 1,104,131.14/1,362.16
  6. Step 6: Final answer
    x = 810.58

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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.