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Finding the Fourth Proportional to 419.08, 630.82 and 382.17

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Solution

The fourth proportional to 419.08, 630.82 and 382.17 is: 575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.08 : 630.82 = 382.17 : x
  2. Step 2: Convert to fraction form
    419.08/630.82 = 382.17/x
  3. Step 3: Cross multiply
    419.08x = 630.82 × 382.17
  4. Step 4: Simplify right side
    419.08x = 241,077.33
  5. Step 5: Solve for x
    x = 241,077.33/419.08
  6. Step 6: Final answer
    x = 575.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.