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Finding the Fourth Proportional to 617.97, 925.73 and 325.03

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Solution

The fourth proportional to 617.97, 925.73 and 325.03 is: 486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.97 : 925.73 = 325.03 : x
  2. Step 2: Convert to fraction form
    617.97/925.73 = 325.03/x
  3. Step 3: Cross multiply
    617.97x = 925.73 × 325.03
  4. Step 4: Simplify right side
    617.97x = 300,890.02
  5. Step 5: Solve for x
    x = 300,890.02/617.97
  6. Step 6: Final answer
    x = 486.90

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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.