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Finding the Fourth Proportional to 910.75, 1,372.33 and 811.29

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Solution

The fourth proportional to 910.75, 1,372.33 and 811.29 is: 1,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.75 : 1,372.33 = 811.29 : x
  2. Step 2: Convert to fraction form
    910.75/1,372.33 = 811.29/x
  3. Step 3: Cross multiply
    910.75x = 1,372.33 × 811.29
  4. Step 4: Simplify right side
    910.75x = 1,113,361.04
  5. Step 5: Solve for x
    x = 1,113,361.04/910.75
  6. Step 6: Final answer
    x = 1,222.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.