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Finding the Fourth Proportional to 617.89, 925.76 and 324.95

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Solution

The fourth proportional to 617.89, 925.76 and 324.95 is: 486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.89 : 925.76 = 324.95 : x
  2. Step 2: Convert to fraction form
    617.89/925.76 = 324.95/x
  3. Step 3: Cross multiply
    617.89x = 925.76 × 324.95
  4. Step 4: Simplify right side
    617.89x = 300,825.71
  5. Step 5: Solve for x
    x = 300,825.71/617.89
  6. Step 6: Final answer
    x = 486.86

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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.