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Finding the Fourth Proportional to 1,433.71, 1,978.49 and 804.19

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Solution

The fourth proportional to 1,433.71, 1,978.49 and 804.19 is: 1,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.71 : 1,978.49 = 804.19 : x
  2. Step 2: Convert to fraction form
    1,433.71/1,978.49 = 804.19/x
  3. Step 3: Cross multiply
    1,433.71x = 1,978.49 × 804.19
  4. Step 4: Simplify right side
    1,433.71x = 1,591,081.87
  5. Step 5: Solve for x
    x = 1,591,081.87/1,433.71
  6. Step 6: Final answer
    x = 1,109.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.