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Finding the Fourth Proportional to 2,399.14, 3,598.57 and 755.65

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Solution

The fourth proportional to 2,399.14, 3,598.57 and 755.65 is: 1,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.14 : 3,598.57 = 755.65 : x
  2. Step 2: Convert to fraction form
    2,399.14/3,598.57 = 755.65/x
  3. Step 3: Cross multiply
    2,399.14x = 3,598.57 × 755.65
  4. Step 4: Simplify right side
    2,399.14x = 2,719,259.42
  5. Step 5: Solve for x
    x = 2,719,259.42/2,399.14
  6. Step 6: Final answer
    x = 1,133.43

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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.