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Finding the Fourth Proportional to 1,086.96, 1,630.56 and 393.84

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Solution

The fourth proportional to 1,086.96, 1,630.56 and 393.84 is: 590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.96 : 1,630.56 = 393.84 : x
  2. Step 2: Convert to fraction form
    1,086.96/1,630.56 = 393.84/x
  3. Step 3: Cross multiply
    1,086.96x = 1,630.56 × 393.84
  4. Step 4: Simplify right side
    1,086.96x = 642,179.75
  5. Step 5: Solve for x
    x = 642,179.75/1,086.96
  6. Step 6: Final answer
    x = 590.80

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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.