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Finding the Fourth Proportional to 1,390.96, 2,086.48 and 403.84

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Solution

The fourth proportional to 1,390.96, 2,086.48 and 403.84 is: 605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.96 : 2,086.48 = 403.84 : x
  2. Step 2: Convert to fraction form
    1,390.96/2,086.48 = 403.84/x
  3. Step 3: Cross multiply
    1,390.96x = 2,086.48 × 403.84
  4. Step 4: Simplify right side
    1,390.96x = 842,604.08
  5. Step 5: Solve for x
    x = 842,604.08/1,390.96
  6. Step 6: Final answer
    x = 605.77

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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.