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Finding the Fourth Proportional to 617.21, 925.91 and 308.75

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Solution

The fourth proportional to 617.21, 925.91 and 308.75 is: 463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.21 : 925.91 = 308.75 : x
  2. Step 2: Convert to fraction form
    617.21/925.91 = 308.75/x
  3. Step 3: Cross multiply
    617.21x = 925.91 × 308.75
  4. Step 4: Simplify right side
    617.21x = 285,874.71
  5. Step 5: Solve for x
    x = 285,874.71/617.21
  6. Step 6: Final answer
    x = 463.17

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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.