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Finding the Fourth Proportional to 627.72, 945.25 and 455.59

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Solution

The fourth proportional to 627.72, 945.25 and 455.59 is: 686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.72 : 945.25 = 455.59 : x
  2. Step 2: Convert to fraction form
    627.72/945.25 = 455.59/x
  3. Step 3: Cross multiply
    627.72x = 945.25 × 455.59
  4. Step 4: Simplify right side
    627.72x = 430,646.45
  5. Step 5: Solve for x
    x = 430,646.45/627.72
  6. Step 6: Final answer
    x = 686.05

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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.