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Finding the Fourth Proportional to 520.89, 718.56 and 422.49

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Solution

The fourth proportional to 520.89, 718.56 and 422.49 is: 582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.89 : 718.56 = 422.49 : x
  2. Step 2: Convert to fraction form
    520.89/718.56 = 422.49/x
  3. Step 3: Cross multiply
    520.89x = 718.56 × 422.49
  4. Step 4: Simplify right side
    520.89x = 303,584.41
  5. Step 5: Solve for x
    x = 303,584.41/520.89
  6. Step 6: Final answer
    x = 582.82

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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.