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Finding the Fourth Proportional to 2,409.74, 3,614.66 and 766.30

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Solution

The fourth proportional to 2,409.74, 3,614.66 and 766.30 is: 1,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.74 : 3,614.66 = 766.30 : x
  2. Step 2: Convert to fraction form
    2,409.74/3,614.66 = 766.30/x
  3. Step 3: Cross multiply
    2,409.74x = 3,614.66 × 766.30
  4. Step 4: Simplify right side
    2,409.74x = 2,769,913.96
  5. Step 5: Solve for x
    x = 2,769,913.96/2,409.74
  6. Step 6: Final answer
    x = 1,149.47

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1.5x scale

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.