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Finding the Fourth Proportional to 617.13, 925.97 and 328.50

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Solution

The fourth proportional to 617.13, 925.97 and 328.50 is: 492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.13 : 925.97 = 328.50 : x
  2. Step 2: Convert to fraction form
    617.13/925.97 = 328.50/x
  3. Step 3: Cross multiply
    617.13x = 925.97 × 328.50
  4. Step 4: Simplify right side
    617.13x = 304,179.50
  5. Step 5: Solve for x
    x = 304,179.50/617.13
  6. Step 6: Final answer
    x = 492.89

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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.