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Finding the Fourth Proportional to 641.80, 885.66 and 362.02

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Solution

The fourth proportional to 641.80, 885.66 and 362.02 is: 499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.80 : 885.66 = 362.02 : x
  2. Step 2: Convert to fraction form
    641.80/885.66 = 362.02/x
  3. Step 3: Cross multiply
    641.80x = 885.66 × 362.02
  4. Step 4: Simplify right side
    641.80x = 320,630.27
  5. Step 5: Solve for x
    x = 320,630.27/641.80
  6. Step 6: Final answer
    x = 499.58

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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.