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Finding the Fourth Proportional to 644.86, 966.72 and 233.90

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Solution

The fourth proportional to 644.86, 966.72 and 233.90 is: 350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.86 : 966.72 = 233.90 : x
  2. Step 2: Convert to fraction form
    644.86/966.72 = 233.90/x
  3. Step 3: Cross multiply
    644.86x = 966.72 × 233.90
  4. Step 4: Simplify right side
    644.86x = 226,115.81
  5. Step 5: Solve for x
    x = 226,115.81/644.86
  6. Step 6: Final answer
    x = 350.64

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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.