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Finding the Fourth Proportional to 392.71, 591.82 and 374.19

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Solution

The fourth proportional to 392.71, 591.82 and 374.19 is: 563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.71 : 591.82 = 374.19 : x
  2. Step 2: Convert to fraction form
    392.71/591.82 = 374.19/x
  3. Step 3: Cross multiply
    392.71x = 591.82 × 374.19
  4. Step 4: Simplify right side
    392.71x = 221,453.13
  5. Step 5: Solve for x
    x = 221,453.13/392.71
  6. Step 6: Final answer
    x = 563.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.