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Finding the Fourth Proportional to 617.24, 924.82 and 434.31

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Solution

The fourth proportional to 617.24, 924.82 and 434.31 is: 650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.24 : 924.82 = 434.31 : x
  2. Step 2: Convert to fraction form
    617.24/924.82 = 434.31/x
  3. Step 3: Cross multiply
    617.24x = 924.82 × 434.31
  4. Step 4: Simplify right side
    617.24x = 401,658.57
  5. Step 5: Solve for x
    x = 401,658.57/617.24
  6. Step 6: Final answer
    x = 650.73

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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.