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Finding the Fourth Proportional to 406.23, 612.42 and 379.82

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Solution

The fourth proportional to 406.23, 612.42 and 379.82 is: 572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.23 : 612.42 = 379.82 : x
  2. Step 2: Convert to fraction form
    406.23/612.42 = 379.82/x
  3. Step 3: Cross multiply
    406.23x = 612.42 × 379.82
  4. Step 4: Simplify right side
    406.23x = 232,606.30
  5. Step 5: Solve for x
    x = 232,606.30/406.23
  6. Step 6: Final answer
    x = 572.60

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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.