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Finding the Fourth Proportional to 617.08, 923.94 and 434.20

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Solution

The fourth proportional to 617.08, 923.94 and 434.20 is: 650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.08 : 923.94 = 434.20 : x
  2. Step 2: Convert to fraction form
    617.08/923.94 = 434.20/x
  3. Step 3: Cross multiply
    617.08x = 923.94 × 434.20
  4. Step 4: Simplify right side
    617.08x = 401,174.75
  5. Step 5: Solve for x
    x = 401,174.75/617.08
  6. Step 6: Final answer
    x = 650.12

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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.