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Finding the Fourth Proportional to 454.42, 627.96 and 421.66

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Solution

The fourth proportional to 454.42, 627.96 and 421.66 is: 582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.42 : 627.96 = 421.66 : x
  2. Step 2: Convert to fraction form
    454.42/627.96 = 421.66/x
  3. Step 3: Cross multiply
    454.42x = 627.96 × 421.66
  4. Step 4: Simplify right side
    454.42x = 264,785.61
  5. Step 5: Solve for x
    x = 264,785.61/454.42
  6. Step 6: Final answer
    x = 582.69

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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.