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Finding the Fourth Proportional to 641.86, 885.74 and 362.15

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Solution

The fourth proportional to 641.86, 885.74 and 362.15 is: 499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.86 : 885.74 = 362.15 : x
  2. Step 2: Convert to fraction form
    641.86/885.74 = 362.15/x
  3. Step 3: Cross multiply
    641.86x = 885.74 × 362.15
  4. Step 4: Simplify right side
    641.86x = 320,770.74
  5. Step 5: Solve for x
    x = 320,770.74/641.86
  6. Step 6: Final answer
    x = 499.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.