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Finding the Fourth Proportional to 609.63, 840.68 and 460.62

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Solution

The fourth proportional to 609.63, 840.68 and 460.62 is: 635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.63 : 840.68 = 460.62 : x
  2. Step 2: Convert to fraction form
    609.63/840.68 = 460.62/x
  3. Step 3: Cross multiply
    609.63x = 840.68 × 460.62
  4. Step 4: Simplify right side
    609.63x = 387,233.45
  5. Step 5: Solve for x
    x = 387,233.45/609.63
  6. Step 6: Final answer
    x = 635.20

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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.