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Finding the Fourth Proportional to 636.29, 953.17 and 419.21

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Solution

The fourth proportional to 636.29, 953.17 and 419.21 is: 627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.29 : 953.17 = 419.21 : x
  2. Step 2: Convert to fraction form
    636.29/953.17 = 419.21/x
  3. Step 3: Cross multiply
    636.29x = 953.17 × 419.21
  4. Step 4: Simplify right side
    636.29x = 399,578.40
  5. Step 5: Solve for x
    x = 399,578.40/636.29
  6. Step 6: Final answer
    x = 627.98

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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.