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Finding the Fourth Proportional to 620.94, 935.10 and 540.75

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Solution

The fourth proportional to 620.94, 935.10 and 540.75 is: 814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.94 : 935.10 = 540.75 : x
  2. Step 2: Convert to fraction form
    620.94/935.10 = 540.75/x
  3. Step 3: Cross multiply
    620.94x = 935.10 × 540.75
  4. Step 4: Simplify right side
    620.94x = 505,655.33
  5. Step 5: Solve for x
    x = 505,655.33/620.94
  6. Step 6: Final answer
    x = 814.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.