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Finding the Fourth Proportional to 644.25, 966.05 and 233.32

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Solution

The fourth proportional to 644.25, 966.05 and 233.32 is: 349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.25 : 966.05 = 233.32 : x
  2. Step 2: Convert to fraction form
    644.25/966.05 = 233.32/x
  3. Step 3: Cross multiply
    644.25x = 966.05 × 233.32
  4. Step 4: Simplify right side
    644.25x = 225,398.79
  5. Step 5: Solve for x
    x = 225,398.79/644.25
  6. Step 6: Final answer
    x = 349.86

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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.