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Finding the Fourth Proportional to 643.94, 961.60 and 540.36

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Solution

The fourth proportional to 643.94, 961.60 and 540.36 is: 806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.94 : 961.60 = 540.36 : x
  2. Step 2: Convert to fraction form
    643.94/961.60 = 540.36/x
  3. Step 3: Cross multiply
    643.94x = 961.60 × 540.36
  4. Step 4: Simplify right side
    643.94x = 519,610.18
  5. Step 5: Solve for x
    x = 519,610.18/643.94
  6. Step 6: Final answer
    x = 806.92

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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.