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Finding the Fourth Proportional to 379.62, 565.60 and 374.27

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Solution

The fourth proportional to 379.62, 565.60 and 374.27 is: 557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.62 : 565.60 = 374.27 : x
  2. Step 2: Convert to fraction form
    379.62/565.60 = 374.27/x
  3. Step 3: Cross multiply
    379.62x = 565.60 × 374.27
  4. Step 4: Simplify right side
    379.62x = 211,688.30
  5. Step 5: Solve for x
    x = 211,688.30/379.62
  6. Step 6: Final answer
    x = 557.63

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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.