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Finding the Fourth Proportional to 2,999.64, 4,499.08 and 808.52

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Solution

The fourth proportional to 2,999.64, 4,499.08 and 808.52 is: 1,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.64 : 4,499.08 = 808.52 : x
  2. Step 2: Convert to fraction form
    2,999.64/4,499.08 = 808.52/x
  3. Step 3: Cross multiply
    2,999.64x = 4,499.08 × 808.52
  4. Step 4: Simplify right side
    2,999.64x = 3,637,596.16
  5. Step 5: Solve for x
    x = 3,637,596.16/2,999.64
  6. Step 6: Final answer
    x = 1,212.68

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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.