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Finding the Fourth Proportional to 520.25, 717.98 and 299.13

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Solution

The fourth proportional to 520.25, 717.98 and 299.13 is: 412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.25 : 717.98 = 299.13 : x
  2. Step 2: Convert to fraction form
    520.25/717.98 = 299.13/x
  3. Step 3: Cross multiply
    520.25x = 717.98 × 299.13
  4. Step 4: Simplify right side
    520.25x = 214,767.86
  5. Step 5: Solve for x
    x = 214,767.86/520.25
  6. Step 6: Final answer
    x = 412.82

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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.