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Finding the Fourth Proportional to 409.08, 617.25 and 391.32

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Solution

The fourth proportional to 409.08, 617.25 and 391.32 is: 590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.08 : 617.25 = 391.32 : x
  2. Step 2: Convert to fraction form
    409.08/617.25 = 391.32/x
  3. Step 3: Cross multiply
    409.08x = 617.25 × 391.32
  4. Step 4: Simplify right side
    409.08x = 241,542.27
  5. Step 5: Solve for x
    x = 241,542.27/409.08
  6. Step 6: Final answer
    x = 590.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.