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Finding the Fourth Proportional to 644.86, 966.98 and 233.71

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Solution

The fourth proportional to 644.86, 966.98 and 233.71 is: 350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.86 : 966.98 = 233.71 : x
  2. Step 2: Convert to fraction form
    644.86/966.98 = 233.71/x
  3. Step 3: Cross multiply
    644.86x = 966.98 × 233.71
  4. Step 4: Simplify right side
    644.86x = 225,988.06
  5. Step 5: Solve for x
    x = 225,988.06/644.86
  6. Step 6: Final answer
    x = 350.45

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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.