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Finding the Fourth Proportional to 919.47, 1,268.91 and 588.18

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Solution

The fourth proportional to 919.47, 1,268.91 and 588.18 is: 811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.47 : 1,268.91 = 588.18 : x
  2. Step 2: Convert to fraction form
    919.47/1,268.91 = 588.18/x
  3. Step 3: Cross multiply
    919.47x = 1,268.91 × 588.18
  4. Step 4: Simplify right side
    919.47x = 746,347.48
  5. Step 5: Solve for x
    x = 746,347.48/919.47
  6. Step 6: Final answer
    x = 811.71

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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.