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Finding the Fourth Proportional to 609.12, 840 and 461.76

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Solution

The fourth proportional to 609.12, 840 and 461.76 is: 636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.12 : 840 = 461.76 : x
  2. Step 2: Convert to fraction form
    609.12/840 = 461.76/x
  3. Step 3: Cross multiply
    609.12x = 840 × 461.76
  4. Step 4: Simplify right side
    609.12x = 387,878.40
  5. Step 5: Solve for x
    x = 387,878.40/609.12
  6. Step 6: Final answer
    x = 636.78

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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.