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Finding the Fourth Proportional to 643.74, 964.93 and 273.75

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Solution

The fourth proportional to 643.74, 964.93 and 273.75 is: 410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.74 : 964.93 = 273.75 : x
  2. Step 2: Convert to fraction form
    643.74/964.93 = 273.75/x
  3. Step 3: Cross multiply
    643.74x = 964.93 × 273.75
  4. Step 4: Simplify right side
    643.74x = 264,149.59
  5. Step 5: Solve for x
    x = 264,149.59/643.74
  6. Step 6: Final answer
    x = 410.34

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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.