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Finding the Fourth Proportional to 919.34, 1,268.67 and 499.69

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Solution

The fourth proportional to 919.34, 1,268.67 and 499.69 is: 689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.34 : 1,268.67 = 499.69 : x
  2. Step 2: Convert to fraction form
    919.34/1,268.67 = 499.69/x
  3. Step 3: Cross multiply
    919.34x = 1,268.67 × 499.69
  4. Step 4: Simplify right side
    919.34x = 633,947.33
  5. Step 5: Solve for x
    x = 633,947.33/919.34
  6. Step 6: Final answer
    x = 689.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.