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Finding the Fourth Proportional to 617.46, 925.79 and 401.19

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Solution

The fourth proportional to 617.46, 925.79 and 401.19 is: 601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.46 : 925.79 = 401.19 : x
  2. Step 2: Convert to fraction form
    617.46/925.79 = 401.19/x
  3. Step 3: Cross multiply
    617.46x = 925.79 × 401.19
  4. Step 4: Simplify right side
    617.46x = 371,415.68
  5. Step 5: Solve for x
    x = 371,415.68/617.46
  6. Step 6: Final answer
    x = 601.52

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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.