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Finding the Fourth Proportional to 617.05, 925.26 and 304.66

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Solution

The fourth proportional to 617.05, 925.26 and 304.66 is: 456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.05 : 925.26 = 304.66 : x
  2. Step 2: Convert to fraction form
    617.05/925.26 = 304.66/x
  3. Step 3: Cross multiply
    617.05x = 925.26 × 304.66
  4. Step 4: Simplify right side
    617.05x = 281,889.71
  5. Step 5: Solve for x
    x = 281,889.71/617.05
  6. Step 6: Final answer
    x = 456.83

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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.