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Finding the Fourth Proportional to 520.75, 718.34 and 343.53

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Solution

The fourth proportional to 520.75, 718.34 and 343.53 is: 473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.75 : 718.34 = 343.53 : x
  2. Step 2: Convert to fraction form
    520.75/718.34 = 343.53/x
  3. Step 3: Cross multiply
    520.75x = 718.34 × 343.53
  4. Step 4: Simplify right side
    520.75x = 246,771.34
  5. Step 5: Solve for x
    x = 246,771.34/520.75
  6. Step 6: Final answer
    x = 473.88

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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.