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Finding the Fourth Proportional to 1,259.76, 1,889.52 and 394

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Solution

The fourth proportional to 1,259.76, 1,889.52 and 394 is: 590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.76 : 1,889.52 = 394 : x
  2. Step 2: Convert to fraction form
    1,259.76/1,889.52 = 394/x
  3. Step 3: Cross multiply
    1,259.76x = 1,889.52 × 394
  4. Step 4: Simplify right side
    1,259.76x = 744,470.88
  5. Step 5: Solve for x
    x = 744,470.88/1,259.76
  6. Step 6: Final answer
    x = 590.96

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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.