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Finding the Fourth Proportional to 640.86, 961.60 and 332.66

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Solution

The fourth proportional to 640.86, 961.60 and 332.66 is: 499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.86 : 961.60 = 332.66 : x
  2. Step 2: Convert to fraction form
    640.86/961.60 = 332.66/x
  3. Step 3: Cross multiply
    640.86x = 961.60 × 332.66
  4. Step 4: Simplify right side
    640.86x = 319,885.86
  5. Step 5: Solve for x
    x = 319,885.86/640.86
  6. Step 6: Final answer
    x = 499.15

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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.