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Finding the Fourth Proportional to 804.05, 1,205.89 and 370.79

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Solution

The fourth proportional to 804.05, 1,205.89 and 370.79 is: 556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.05 : 1,205.89 = 370.79 : x
  2. Step 2: Convert to fraction form
    804.05/1,205.89 = 370.79/x
  3. Step 3: Cross multiply
    804.05x = 1,205.89 × 370.79
  4. Step 4: Simplify right side
    804.05x = 447,131.95
  5. Step 5: Solve for x
    x = 447,131.95/804.05
  6. Step 6: Final answer
    x = 556.10

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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.