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Finding the Fourth Proportional to 617.53, 927.11 and 357.79

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Solution

The fourth proportional to 617.53, 927.11 and 357.79 is: 537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.53 : 927.11 = 357.79 : x
  2. Step 2: Convert to fraction form
    617.53/927.11 = 357.79/x
  3. Step 3: Cross multiply
    617.53x = 927.11 × 357.79
  4. Step 4: Simplify right side
    617.53x = 331,710.69
  5. Step 5: Solve for x
    x = 331,710.69/617.53
  6. Step 6: Final answer
    x = 537.16

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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.