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Finding the Fourth Proportional to 627.56, 865.90 and 362.00

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Solution

The fourth proportional to 627.56, 865.90 and 362.00 is: 499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.56 : 865.90 = 362.00 : x
  2. Step 2: Convert to fraction form
    627.56/865.90 = 362.00/x
  3. Step 3: Cross multiply
    627.56x = 865.90 × 362.00
  4. Step 4: Simplify right side
    627.56x = 313,458.42
  5. Step 5: Solve for x
    x = 313,458.42/627.56
  6. Step 6: Final answer
    x = 499.49

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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.