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Finding the Fourth Proportional to 804.77, 1,207.83 and 574.22

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Solution

The fourth proportional to 804.77, 1,207.83 and 574.22 is: 861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.77 : 1,207.83 = 574.22 : x
  2. Step 2: Convert to fraction form
    804.77/1,207.83 = 574.22/x
  3. Step 3: Cross multiply
    804.77x = 1,207.83 × 574.22
  4. Step 4: Simplify right side
    804.77x = 693,554.10
  5. Step 5: Solve for x
    x = 693,554.10/804.77
  6. Step 6: Final answer
    x = 861.81

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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.