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Finding the Fourth Proportional to 643.06, 964.56 and 174.55

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Solution

The fourth proportional to 643.06, 964.56 and 174.55 is: 261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.06 : 964.56 = 174.55 : x
  2. Step 2: Convert to fraction form
    643.06/964.56 = 174.55/x
  3. Step 3: Cross multiply
    643.06x = 964.56 × 174.55
  4. Step 4: Simplify right side
    643.06x = 168,363.95
  5. Step 5: Solve for x
    x = 168,363.95/643.06
  6. Step 6: Final answer
    x = 261.82

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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.