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Finding the Fourth Proportional to 617.58, 925.56 and 308.76

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Solution

The fourth proportional to 617.58, 925.56 and 308.76 is: 462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.58 : 925.56 = 308.76 : x
  2. Step 2: Convert to fraction form
    617.58/925.56 = 308.76/x
  3. Step 3: Cross multiply
    617.58x = 925.56 × 308.76
  4. Step 4: Simplify right side
    617.58x = 285,775.91
  5. Step 5: Solve for x
    x = 285,775.91/617.58
  6. Step 6: Final answer
    x = 462.74

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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.