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Finding the Fourth Proportional to 644.37, 966.24 and 233.45

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Solution

The fourth proportional to 644.37, 966.24 and 233.45 is: 350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.37 : 966.24 = 233.45 : x
  2. Step 2: Convert to fraction form
    644.37/966.24 = 233.45/x
  3. Step 3: Cross multiply
    644.37x = 966.24 × 233.45
  4. Step 4: Simplify right side
    644.37x = 225,563.90
  5. Step 5: Solve for x
    x = 225,563.90/644.37
  6. Step 6: Final answer
    x = 350.05

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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.