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Finding the Fourth Proportional to 431.85, 648.62 and 412.41

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Solution

The fourth proportional to 431.85, 648.62 and 412.41 is: 619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.85 : 648.62 = 412.41 : x
  2. Step 2: Convert to fraction form
    431.85/648.62 = 412.41/x
  3. Step 3: Cross multiply
    431.85x = 648.62 × 412.41
  4. Step 4: Simplify right side
    431.85x = 267,497.74
  5. Step 5: Solve for x
    x = 267,497.74/431.85
  6. Step 6: Final answer
    x = 619.42

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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.