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Finding the Fourth Proportional to 392.76, 586.82 and 379.15

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Solution

The fourth proportional to 392.76, 586.82 and 379.15 is: 566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.76 : 586.82 = 379.15 : x
  2. Step 2: Convert to fraction form
    392.76/586.82 = 379.15/x
  3. Step 3: Cross multiply
    392.76x = 586.82 × 379.15
  4. Step 4: Simplify right side
    392.76x = 222,492.28
  5. Step 5: Solve for x
    x = 222,492.28/392.76
  6. Step 6: Final answer
    x = 566.48

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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.