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Finding the Fourth Proportional to 910.62, 1,372.86 and 767.34

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Solution

The fourth proportional to 910.62, 1,372.86 and 767.34 is: 1,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.62 : 1,372.86 = 767.34 : x
  2. Step 2: Convert to fraction form
    910.62/1,372.86 = 767.34/x
  3. Step 3: Cross multiply
    910.62x = 1,372.86 × 767.34
  4. Step 4: Simplify right side
    910.62x = 1,053,450.39
  5. Step 5: Solve for x
    x = 1,053,450.39/910.62
  6. Step 6: Final answer
    x = 1,156.85

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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.