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Finding the Fourth Proportional to 2,288.85, 3,433.76 and 808.01

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Solution

The fourth proportional to 2,288.85, 3,433.76 and 808.01 is: 1,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.85 : 3,433.76 = 808.01 : x
  2. Step 2: Convert to fraction form
    2,288.85/3,433.76 = 808.01/x
  3. Step 3: Cross multiply
    2,288.85x = 3,433.76 × 808.01
  4. Step 4: Simplify right side
    2,288.85x = 2,774,512.42
  5. Step 5: Solve for x
    x = 2,774,512.42/2,288.85
  6. Step 6: Final answer
    x = 1,212.19

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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.