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Finding the Fourth Proportional to 550.43, 822.49 and 540.17

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Solution

The fourth proportional to 550.43, 822.49 and 540.17 is: 807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.43 : 822.49 = 540.17 : x
  2. Step 2: Convert to fraction form
    550.43/822.49 = 540.17/x
  3. Step 3: Cross multiply
    550.43x = 822.49 × 540.17
  4. Step 4: Simplify right side
    550.43x = 444,284.42
  5. Step 5: Solve for x
    x = 444,284.42/550.43
  6. Step 6: Final answer
    x = 807.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.