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Finding the Fourth Proportional to 627.75, 940.65 and 421.53

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Solution

The fourth proportional to 627.75, 940.65 and 421.53 is: 631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.75 : 940.65 = 421.53 : x
  2. Step 2: Convert to fraction form
    627.75/940.65 = 421.53/x
  3. Step 3: Cross multiply
    627.75x = 940.65 × 421.53
  4. Step 4: Simplify right side
    627.75x = 396,512.19
  5. Step 5: Solve for x
    x = 396,512.19/627.75
  6. Step 6: Final answer
    x = 631.64

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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.