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Finding the Fourth Proportional to 517.44, 713.79 and 392.89

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Solution

The fourth proportional to 517.44, 713.79 and 392.89 is: 541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.44 : 713.79 = 392.89 : x
  2. Step 2: Convert to fraction form
    517.44/713.79 = 392.89/x
  3. Step 3: Cross multiply
    517.44x = 713.79 × 392.89
  4. Step 4: Simplify right side
    517.44x = 280,440.95
  5. Step 5: Solve for x
    x = 280,440.95/517.44
  6. Step 6: Final answer
    x = 541.98

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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.