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Finding the Fourth Proportional to 919.82, 1,266.47 and 811.92

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Solution

The fourth proportional to 919.82, 1,266.47 and 811.92 is: 1,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.82 : 1,266.47 = 811.92 : x
  2. Step 2: Convert to fraction form
    919.82/1,266.47 = 811.92/x
  3. Step 3: Cross multiply
    919.82x = 1,266.47 × 811.92
  4. Step 4: Simplify right side
    919.82x = 1,028,276.06
  5. Step 5: Solve for x
    x = 1,028,276.06/919.82
  6. Step 6: Final answer
    x = 1,117.91

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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.