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Finding the Fourth Proportional to 406.69, 611.38 and 376.62

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Solution

The fourth proportional to 406.69, 611.38 and 376.62 is: 566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.69 : 611.38 = 376.62 : x
  2. Step 2: Convert to fraction form
    406.69/611.38 = 376.62/x
  3. Step 3: Cross multiply
    406.69x = 611.38 × 376.62
  4. Step 4: Simplify right side
    406.69x = 230,256.11
  5. Step 5: Solve for x
    x = 230,256.11/406.69
  6. Step 6: Final answer
    x = 566.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.