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Finding the Fourth Proportional to 412.26, 565.23 and 404.88

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Solution

The fourth proportional to 412.26, 565.23 and 404.88 is: 555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.26 : 565.23 = 404.88 : x
  2. Step 2: Convert to fraction form
    412.26/565.23 = 404.88/x
  3. Step 3: Cross multiply
    412.26x = 565.23 × 404.88
  4. Step 4: Simplify right side
    412.26x = 228,850.32
  5. Step 5: Solve for x
    x = 228,850.32/412.26
  6. Step 6: Final answer
    x = 555.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.