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Finding the Fourth Proportional to 786.36, 1,082.70 and 668.08

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Solution

The fourth proportional to 786.36, 1,082.70 and 668.08 is: 919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.36 : 1,082.70 = 668.08 : x
  2. Step 2: Convert to fraction form
    786.36/1,082.70 = 668.08/x
  3. Step 3: Cross multiply
    786.36x = 1,082.70 × 668.08
  4. Step 4: Simplify right side
    786.36x = 723,330.22
  5. Step 5: Solve for x
    x = 723,330.22/786.36
  6. Step 6: Final answer
    x = 919.85

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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.