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Finding the Fourth Proportional to 2,999.79, 4,499.74 and 808.58

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Solution

The fourth proportional to 2,999.79, 4,499.74 and 808.58 is: 1,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.79 : 4,499.74 = 808.58 : x
  2. Step 2: Convert to fraction form
    2,999.79/4,499.74 = 808.58/x
  3. Step 3: Cross multiply
    2,999.79x = 4,499.74 × 808.58
  4. Step 4: Simplify right side
    2,999.79x = 3,638,375.25
  5. Step 5: Solve for x
    x = 3,638,375.25/2,999.79
  6. Step 6: Final answer
    x = 1,212.88

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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.