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Finding the Fourth Proportional to 617.89, 927.14 and 453.53

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Solution

The fourth proportional to 617.89, 927.14 and 453.53 is: 680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.89 : 927.14 = 453.53 : x
  2. Step 2: Convert to fraction form
    617.89/927.14 = 453.53/x
  3. Step 3: Cross multiply
    617.89x = 927.14 × 453.53
  4. Step 4: Simplify right side
    617.89x = 420,485.80
  5. Step 5: Solve for x
    x = 420,485.80/617.89
  6. Step 6: Final answer
    x = 680.52

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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.