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Finding the Fourth Proportional to 1,328.67, 1,833.07 and 804.51

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Solution

The fourth proportional to 1,328.67, 1,833.07 and 804.51 is: 1,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.67 : 1,833.07 = 804.51 : x
  2. Step 2: Convert to fraction form
    1,328.67/1,833.07 = 804.51/x
  3. Step 3: Cross multiply
    1,328.67x = 1,833.07 × 804.51
  4. Step 4: Simplify right side
    1,328.67x = 1,474,723.15
  5. Step 5: Solve for x
    x = 1,474,723.15/1,328.67
  6. Step 6: Final answer
    x = 1,109.92

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Why These Related Problems?

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