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Finding the Fourth Proportional to 617.09, 924.45 and 308.58

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Solution

The fourth proportional to 617.09, 924.45 and 308.58 is: 462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.09 : 924.45 = 308.58 : x
  2. Step 2: Convert to fraction form
    617.09/924.45 = 308.58/x
  3. Step 3: Cross multiply
    617.09x = 924.45 × 308.58
  4. Step 4: Simplify right side
    617.09x = 285,262.16
  5. Step 5: Solve for x
    x = 285,262.16/617.09
  6. Step 6: Final answer
    x = 462.27

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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.