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Finding the Fourth Proportional to 520.97, 717.17 and 396.32

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Solution

The fourth proportional to 520.97, 717.17 and 396.32 is: 545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.97 : 717.17 = 396.32 : x
  2. Step 2: Convert to fraction form
    520.97/717.17 = 396.32/x
  3. Step 3: Cross multiply
    520.97x = 717.17 × 396.32
  4. Step 4: Simplify right side
    520.97x = 284,223.25
  5. Step 5: Solve for x
    x = 284,223.25/520.97
  6. Step 6: Final answer
    x = 545.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.