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Finding the Fourth Proportional to 617.03, 924.89 and 308.27

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Solution

The fourth proportional to 617.03, 924.89 and 308.27 is: 462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.03 : 924.89 = 308.27 : x
  2. Step 2: Convert to fraction form
    617.03/924.89 = 308.27/x
  3. Step 3: Cross multiply
    617.03x = 924.89 × 308.27
  4. Step 4: Simplify right side
    617.03x = 285,109.67
  5. Step 5: Solve for x
    x = 285,109.67/617.03
  6. Step 6: Final answer
    x = 462.07

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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.