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Finding the Fourth Proportional to 643.12, 964.74 and 180.91

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Solution

The fourth proportional to 643.12, 964.74 and 180.91 is: 271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.12 : 964.74 = 180.91 : x
  2. Step 2: Convert to fraction form
    643.12/964.74 = 180.91/x
  3. Step 3: Cross multiply
    643.12x = 964.74 × 180.91
  4. Step 4: Simplify right side
    643.12x = 174,531.11
  5. Step 5: Solve for x
    x = 174,531.11/643.12
  6. Step 6: Final answer
    x = 271.38

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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.