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Finding the Fourth Proportional to 804.30, 1,199.52 and 726.54

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Solution

The fourth proportional to 804.30, 1,199.52 and 726.54 is: 1,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.30 : 1,199.52 = 726.54 : x
  2. Step 2: Convert to fraction form
    804.30/1,199.52 = 726.54/x
  3. Step 3: Cross multiply
    804.30x = 1,199.52 × 726.54
  4. Step 4: Simplify right side
    804.30x = 871,499.26
  5. Step 5: Solve for x
    x = 871,499.26/804.30
  6. Step 6: Final answer
    x = 1,083.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.