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Finding the Fourth Proportional to 617.87, 927.66 and 521.21

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Solution

The fourth proportional to 617.87, 927.66 and 521.21 is: 782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.87 : 927.66 = 521.21 : x
  2. Step 2: Convert to fraction form
    617.87/927.66 = 521.21/x
  3. Step 3: Cross multiply
    617.87x = 927.66 × 521.21
  4. Step 4: Simplify right side
    617.87x = 483,505.67
  5. Step 5: Solve for x
    x = 483,505.67/617.87
  6. Step 6: Final answer
    x = 782.54

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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.