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Finding the Fourth Proportional to 1,286.86, 1,930.29 and 312.96

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Solution

The fourth proportional to 1,286.86, 1,930.29 and 312.96 is: 469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.86 : 1,930.29 = 312.96 : x
  2. Step 2: Convert to fraction form
    1,286.86/1,930.29 = 312.96/x
  3. Step 3: Cross multiply
    1,286.86x = 1,930.29 × 312.96
  4. Step 4: Simplify right side
    1,286.86x = 604,093.91
  5. Step 5: Solve for x
    x = 604,093.91/1,286.86
  6. Step 6: Final answer
    x = 469.43

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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.