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Finding the Fourth Proportional to 643.67, 965.51 and 232.71

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Solution

The fourth proportional to 643.67, 965.51 and 232.71 is: 349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.67 : 965.51 = 232.71 : x
  2. Step 2: Convert to fraction form
    643.67/965.51 = 232.71/x
  3. Step 3: Cross multiply
    643.67x = 965.51 × 232.71
  4. Step 4: Simplify right side
    643.67x = 224,685.02
  5. Step 5: Solve for x
    x = 224,685.02/643.67
  6. Step 6: Final answer
    x = 349.07

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.