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Finding the Fourth Proportional to 944.87, 1,301.20 and 811.02

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Solution

The fourth proportional to 944.87, 1,301.20 and 811.02 is: 1,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.87 : 1,301.20 = 811.02 : x
  2. Step 2: Convert to fraction form
    944.87/1,301.20 = 811.02/x
  3. Step 3: Cross multiply
    944.87x = 1,301.20 × 811.02
  4. Step 4: Simplify right side
    944.87x = 1,055,297.20
  5. Step 5: Solve for x
    x = 1,055,297.20/944.87
  6. Step 6: Final answer
    x = 1,116.87

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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.