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Finding the Fourth Proportional to 643.51, 965.31 and 232.66

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Solution

The fourth proportional to 643.51, 965.31 and 232.66 is: 349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.51 : 965.31 = 232.66 : x
  2. Step 2: Convert to fraction form
    643.51/965.31 = 232.66/x
  3. Step 3: Cross multiply
    643.51x = 965.31 × 232.66
  4. Step 4: Simplify right side
    643.51x = 224,589.02
  5. Step 5: Solve for x
    x = 224,589.02/643.51
  6. Step 6: Final answer
    x = 349.01

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Double scale
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1.5x scale

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.