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Finding the Fourth Proportional to 520.21, 717.99 and 342.86

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Solution

The fourth proportional to 520.21, 717.99 and 342.86 is: 473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.21 : 717.99 = 342.86 : x
  2. Step 2: Convert to fraction form
    520.21/717.99 = 342.86/x
  3. Step 3: Cross multiply
    520.21x = 717.99 × 342.86
  4. Step 4: Simplify right side
    520.21x = 246,170.05
  5. Step 5: Solve for x
    x = 246,170.05/520.21
  6. Step 6: Final answer
    x = 473.21

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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.