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Finding the Fourth Proportional to 437.90, 604.34 and 411.63

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Solution

The fourth proportional to 437.90, 604.34 and 411.63 is: 568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.90 : 604.34 = 411.63 : x
  2. Step 2: Convert to fraction form
    437.90/604.34 = 411.63/x
  3. Step 3: Cross multiply
    437.90x = 604.34 × 411.63
  4. Step 4: Simplify right side
    437.90x = 248,764.47
  5. Step 5: Solve for x
    x = 248,764.47/437.90
  6. Step 6: Final answer
    x = 568.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.