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Finding the Fourth Proportional to 2,328.81, 3,493.55 and 768.97

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Solution

The fourth proportional to 2,328.81, 3,493.55 and 768.97 is: 1,153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.81 : 3,493.55 = 768.97 : x
  2. Step 2: Convert to fraction form
    2,328.81/3,493.55 = 768.97/x
  3. Step 3: Cross multiply
    2,328.81x = 3,493.55 × 768.97
  4. Step 4: Simplify right side
    2,328.81x = 2,686,449.43
  5. Step 5: Solve for x
    x = 2,686,449.43/2,328.81
  6. Step 6: Final answer
    x = 1,153.57

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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.