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Finding the Fourth Proportional to 1,328.46, 1,991.90 and 403.82

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Solution

The fourth proportional to 1,328.46, 1,991.90 and 403.82 is: 605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.46 : 1,991.90 = 403.82 : x
  2. Step 2: Convert to fraction form
    1,328.46/1,991.90 = 403.82/x
  3. Step 3: Cross multiply
    1,328.46x = 1,991.90 × 403.82
  4. Step 4: Simplify right side
    1,328.46x = 804,369.06
  5. Step 5: Solve for x
    x = 804,369.06/1,328.46
  6. Step 6: Final answer
    x = 605.49

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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.