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Finding the Fourth Proportional to 851.38, 1,277.79 and 338.74

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Solution

The fourth proportional to 851.38, 1,277.79 and 338.74 is: 508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.38 : 1,277.79 = 338.74 : x
  2. Step 2: Convert to fraction form
    851.38/1,277.79 = 338.74/x
  3. Step 3: Cross multiply
    851.38x = 1,277.79 × 338.74
  4. Step 4: Simplify right side
    851.38x = 432,838.58
  5. Step 5: Solve for x
    x = 432,838.58/851.38
  6. Step 6: Final answer
    x = 508.40

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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.