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Finding the Fourth Proportional to 2,653.76, 3,980.64 and 804.89

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Solution

The fourth proportional to 2,653.76, 3,980.64 and 804.89 is: 1,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.76 : 3,980.64 = 804.89 : x
  2. Step 2: Convert to fraction form
    2,653.76/3,980.64 = 804.89/x
  3. Step 3: Cross multiply
    2,653.76x = 3,980.64 × 804.89
  4. Step 4: Simplify right side
    2,653.76x = 3,203,957.43
  5. Step 5: Solve for x
    x = 3,203,957.43/2,653.76
  6. Step 6: Final answer
    x = 1,207.33

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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.