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Finding the Fourth Proportional to 641.47, 885.19 and 361.71

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Solution

The fourth proportional to 641.47, 885.19 and 361.71 is: 499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.47 : 885.19 = 361.71 : x
  2. Step 2: Convert to fraction form
    641.47/885.19 = 361.71/x
  3. Step 3: Cross multiply
    641.47x = 885.19 × 361.71
  4. Step 4: Simplify right side
    641.47x = 320,182.07
  5. Step 5: Solve for x
    x = 320,182.07/641.47
  6. Step 6: Final answer
    x = 499.14

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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.