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Finding the Fourth Proportional to 919.26, 1,268.57 and 499.60

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Solution

The fourth proportional to 919.26, 1,268.57 and 499.60 is: 689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.26 : 1,268.57 = 499.60 : x
  2. Step 2: Convert to fraction form
    919.26/1,268.57 = 499.60/x
  3. Step 3: Cross multiply
    919.26x = 1,268.57 × 499.60
  4. Step 4: Simplify right side
    919.26x = 633,780.41
  5. Step 5: Solve for x
    x = 633,780.41/919.26
  6. Step 6: Final answer
    x = 689.45

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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.