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Finding the Fourth Proportional to 455.42, 627.18 and 414.41

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Solution

The fourth proportional to 455.42, 627.18 and 414.41 is: 570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.42 : 627.18 = 414.41 : x
  2. Step 2: Convert to fraction form
    455.42/627.18 = 414.41/x
  3. Step 3: Cross multiply
    455.42x = 627.18 × 414.41
  4. Step 4: Simplify right side
    455.42x = 259,909.66
  5. Step 5: Solve for x
    x = 259,909.66/455.42
  6. Step 6: Final answer
    x = 570.71

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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.