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Finding the Fourth Proportional to 626.89, 864.95 and 361.32

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Solution

The fourth proportional to 626.89, 864.95 and 361.32 is: 498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.89 : 864.95 = 361.32 : x
  2. Step 2: Convert to fraction form
    626.89/864.95 = 361.32/x
  3. Step 3: Cross multiply
    626.89x = 864.95 × 361.32
  4. Step 4: Simplify right side
    626.89x = 312,523.73
  5. Step 5: Solve for x
    x = 312,523.73/626.89
  6. Step 6: Final answer
    x = 498.53

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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.