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Finding the Fourth Proportional to 406.76, 565.31 and 402.44

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Solution

The fourth proportional to 406.76, 565.31 and 402.44 is: 559.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.76 : 565.31 = 402.44 : x
  2. Step 2: Convert to fraction form
    406.76/565.31 = 402.44/x
  3. Step 3: Cross multiply
    406.76x = 565.31 × 402.44
  4. Step 4: Simplify right side
    406.76x = 227,503.36
  5. Step 5: Solve for x
    x = 227,503.36/406.76
  6. Step 6: Final answer
    x = 559.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.