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Finding the Fourth Proportional to 406.44, 612.71 and 379.66

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Solution

The fourth proportional to 406.44, 612.71 and 379.66 is: 572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.44 : 612.71 = 379.66 : x
  2. Step 2: Convert to fraction form
    406.44/612.71 = 379.66/x
  3. Step 3: Cross multiply
    406.44x = 612.71 × 379.66
  4. Step 4: Simplify right side
    406.44x = 232,621.48
  5. Step 5: Solve for x
    x = 232,621.48/406.44
  6. Step 6: Final answer
    x = 572.34

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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.