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Finding the Fourth Proportional to 617.73, 925.89 and 309.27

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Solution

The fourth proportional to 617.73, 925.89 and 309.27 is: 463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.73 : 925.89 = 309.27 : x
  2. Step 2: Convert to fraction form
    617.73/925.89 = 309.27/x
  3. Step 3: Cross multiply
    617.73x = 925.89 × 309.27
  4. Step 4: Simplify right side
    617.73x = 286,350.00
  5. Step 5: Solve for x
    x = 286,350.00/617.73
  6. Step 6: Final answer
    x = 463.55

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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.