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Finding the Fourth Proportional to 919.49, 1,268.91 and 499.84

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Solution

The fourth proportional to 919.49, 1,268.91 and 499.84 is: 689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.49 : 1,268.91 = 499.84 : x
  2. Step 2: Convert to fraction form
    919.49/1,268.91 = 499.84/x
  3. Step 3: Cross multiply
    919.49x = 1,268.91 × 499.84
  4. Step 4: Simplify right side
    919.49x = 634,243.13
  5. Step 5: Solve for x
    x = 634,243.13/919.49
  6. Step 6: Final answer
    x = 689.78

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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.