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Finding the Fourth Proportional to 643.48, 964.10 and 334.86

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Solution

The fourth proportional to 643.48, 964.10 and 334.86 is: 501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.48 : 964.10 = 334.86 : x
  2. Step 2: Convert to fraction form
    643.48/964.10 = 334.86/x
  3. Step 3: Cross multiply
    643.48x = 964.10 × 334.86
  4. Step 4: Simplify right side
    643.48x = 322,838.53
  5. Step 5: Solve for x
    x = 322,838.53/643.48
  6. Step 6: Final answer
    x = 501.71

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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.