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Finding the Fourth Proportional to 785.16, 1,082.12 and 694.66

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Solution

The fourth proportional to 785.16, 1,082.12 and 694.66 is: 957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.16 : 1,082.12 = 694.66 : x
  2. Step 2: Convert to fraction form
    785.16/1,082.12 = 694.66/x
  3. Step 3: Cross multiply
    785.16x = 1,082.12 × 694.66
  4. Step 4: Simplify right side
    785.16x = 751,705.48
  5. Step 5: Solve for x
    x = 751,705.48/785.16
  6. Step 6: Final answer
    x = 957.39

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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.