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Finding the Fourth Proportional to 418.86, 627.14 and 380.43

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Solution

The fourth proportional to 418.86, 627.14 and 380.43 is: 569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.86 : 627.14 = 380.43 : x
  2. Step 2: Convert to fraction form
    418.86/627.14 = 380.43/x
  3. Step 3: Cross multiply
    418.86x = 627.14 × 380.43
  4. Step 4: Simplify right side
    418.86x = 238,583.82
  5. Step 5: Solve for x
    x = 238,583.82/418.86
  6. Step 6: Final answer
    x = 569.60

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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.