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Finding the Fourth Proportional to 919.37, 1,268.72 and 499.71

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Solution

The fourth proportional to 919.37, 1,268.72 and 499.71 is: 689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.37 : 1,268.72 = 499.71 : x
  2. Step 2: Convert to fraction form
    919.37/1,268.72 = 499.71/x
  3. Step 3: Cross multiply
    919.37x = 1,268.72 × 499.71
  4. Step 4: Simplify right side
    919.37x = 633,989.57
  5. Step 5: Solve for x
    x = 633,989.57/919.37
  6. Step 6: Final answer
    x = 689.60

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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.