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Finding the Fourth Proportional to 2,655.40, 3,983.73 and 806.62

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Solution

The fourth proportional to 2,655.40, 3,983.73 and 806.62 is: 1,210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.40 : 3,983.73 = 806.62 : x
  2. Step 2: Convert to fraction form
    2,655.40/3,983.73 = 806.62/x
  3. Step 3: Cross multiply
    2,655.40x = 3,983.73 × 806.62
  4. Step 4: Simplify right side
    2,655.40x = 3,213,332.34
  5. Step 5: Solve for x
    x = 3,213,332.34/2,655.40
  6. Step 6: Final answer
    x = 1,210.11

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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.