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Finding the Fourth Proportional to 644.65, 968.16 and 336.71

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Solution

The fourth proportional to 644.65, 968.16 and 336.71 is: 505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.65 : 968.16 = 336.71 : x
  2. Step 2: Convert to fraction form
    644.65/968.16 = 336.71/x
  3. Step 3: Cross multiply
    644.65x = 968.16 × 336.71
  4. Step 4: Simplify right side
    644.65x = 325,989.15
  5. Step 5: Solve for x
    x = 325,989.15/644.65
  6. Step 6: Final answer
    x = 505.68

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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.