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Finding the Fourth Proportional to 609.22, 840.06 and 412.39

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Solution

The fourth proportional to 609.22, 840.06 and 412.39 is: 568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.22 : 840.06 = 412.39 : x
  2. Step 2: Convert to fraction form
    609.22/840.06 = 412.39/x
  3. Step 3: Cross multiply
    609.22x = 840.06 × 412.39
  4. Step 4: Simplify right side
    609.22x = 346,432.34
  5. Step 5: Solve for x
    x = 346,432.34/609.22
  6. Step 6: Final answer
    x = 568.65

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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.