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Finding the Fourth Proportional to 2,409.28, 3,614.16 and 766.32

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Solution

The fourth proportional to 2,409.28, 3,614.16 and 766.32 is: 1,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.28 : 3,614.16 = 766.32 : x
  2. Step 2: Convert to fraction form
    2,409.28/3,614.16 = 766.32/x
  3. Step 3: Cross multiply
    2,409.28x = 3,614.16 × 766.32
  4. Step 4: Simplify right side
    2,409.28x = 2,769,603.09
  5. Step 5: Solve for x
    x = 2,769,603.09/2,409.28
  6. Step 6: Final answer
    x = 1,149.56

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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.