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Finding the Fourth Proportional to 617.50, 924.26 and 324.59

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Solution

The fourth proportional to 617.50, 924.26 and 324.59 is: 485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.50 : 924.26 = 324.59 : x
  2. Step 2: Convert to fraction form
    617.50/924.26 = 324.59/x
  3. Step 3: Cross multiply
    617.50x = 924.26 × 324.59
  4. Step 4: Simplify right side
    617.50x = 300,005.55
  5. Step 5: Solve for x
    x = 300,005.55/617.50
  6. Step 6: Final answer
    x = 485.84

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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.