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Finding the Fourth Proportional to 517.37, 713.96 and 284.49

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Solution

The fourth proportional to 517.37, 713.96 and 284.49 is: 392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.37 : 713.96 = 284.49 : x
  2. Step 2: Convert to fraction form
    517.37/713.96 = 284.49/x
  3. Step 3: Cross multiply
    517.37x = 713.96 × 284.49
  4. Step 4: Simplify right side
    517.37x = 203,113.06
  5. Step 5: Solve for x
    x = 203,113.06/517.37
  6. Step 6: Final answer
    x = 392.59

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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.