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Finding the Fourth Proportional to 394.17, 586.59 and 379.59

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Solution

The fourth proportional to 394.17, 586.59 and 379.59 is: 564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.17 : 586.59 = 379.59 : x
  2. Step 2: Convert to fraction form
    394.17/586.59 = 379.59/x
  3. Step 3: Cross multiply
    394.17x = 586.59 × 379.59
  4. Step 4: Simplify right side
    394.17x = 222,663.70
  5. Step 5: Solve for x
    x = 222,663.70/394.17
  6. Step 6: Final answer
    x = 564.89

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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.