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Finding the Fourth Proportional to 1,286.42, 1,930.64 and 670.64

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Solution

The fourth proportional to 1,286.42, 1,930.64 and 670.64 is: 1,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.42 : 1,930.64 = 670.64 : x
  2. Step 2: Convert to fraction form
    1,286.42/1,930.64 = 670.64/x
  3. Step 3: Cross multiply
    1,286.42x = 1,930.64 × 670.64
  4. Step 4: Simplify right side
    1,286.42x = 1,294,751.40
  5. Step 5: Solve for x
    x = 1,294,751.40/1,286.42
  6. Step 6: Final answer
    x = 1,006.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.