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Finding the Fourth Proportional to 617.07, 923.94 and 434.19

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Solution

The fourth proportional to 617.07, 923.94 and 434.19 is: 650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.07 : 923.94 = 434.19 : x
  2. Step 2: Convert to fraction form
    617.07/923.94 = 434.19/x
  3. Step 3: Cross multiply
    617.07x = 923.94 × 434.19
  4. Step 4: Simplify right side
    617.07x = 401,165.51
  5. Step 5: Solve for x
    x = 401,165.51/617.07
  6. Step 6: Final answer
    x = 650.11

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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.