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Finding the Fourth Proportional to 919.22, 1,268.46 and 565.20

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Solution

The fourth proportional to 919.22, 1,268.46 and 565.20 is: 779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.22 : 1,268.46 = 565.20 : x
  2. Step 2: Convert to fraction form
    919.22/1,268.46 = 565.20/x
  3. Step 3: Cross multiply
    919.22x = 1,268.46 × 565.20
  4. Step 4: Simplify right side
    919.22x = 716,937.16
  5. Step 5: Solve for x
    x = 716,937.16/919.22
  6. Step 6: Final answer
    x = 779.94

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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.