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Finding the Fourth Proportional to 393.96, 586.31 and 392.75

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Solution

The fourth proportional to 393.96, 586.31 and 392.75 is: 584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.96 : 586.31 = 392.75 : x
  2. Step 2: Convert to fraction form
    393.96/586.31 = 392.75/x
  3. Step 3: Cross multiply
    393.96x = 586.31 × 392.75
  4. Step 4: Simplify right side
    393.96x = 230,273.87
  5. Step 5: Solve for x
    x = 230,273.87/393.96
  6. Step 6: Final answer
    x = 584.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.