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Finding the Fourth Proportional to 394.45, 588.59 and 392.17

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Solution

The fourth proportional to 394.45, 588.59 and 392.17 is: 585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.45 : 588.59 = 392.17 : x
  2. Step 2: Convert to fraction form
    394.45/588.59 = 392.17/x
  3. Step 3: Cross multiply
    394.45x = 588.59 × 392.17
  4. Step 4: Simplify right side
    394.45x = 230,825.38
  5. Step 5: Solve for x
    x = 230,825.38/394.45
  6. Step 6: Final answer
    x = 585.19

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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.