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Finding the Fourth Proportional to 617.10, 924.83 and 226.74

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Solution

The fourth proportional to 617.10, 924.83 and 226.74 is: 339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.10 : 924.83 = 226.74 : x
  2. Step 2: Convert to fraction form
    617.10/924.83 = 226.74/x
  3. Step 3: Cross multiply
    617.10x = 924.83 × 226.74
  4. Step 4: Simplify right side
    617.10x = 209,690.20
  5. Step 5: Solve for x
    x = 209,690.20/617.10
  6. Step 6: Final answer
    x = 339.80

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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.