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Finding the Fourth Proportional to 643.65, 965.93 and 232.77

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Solution

The fourth proportional to 643.65, 965.93 and 232.77 is: 349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.65 : 965.93 = 232.77 : x
  2. Step 2: Convert to fraction form
    643.65/965.93 = 232.77/x
  3. Step 3: Cross multiply
    643.65x = 965.93 × 232.77
  4. Step 4: Simplify right side
    643.65x = 224,841.98
  5. Step 5: Solve for x
    x = 224,841.98/643.65
  6. Step 6: Final answer
    x = 349.33

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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.