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Finding the Fourth Proportional to 873.09, 1,204.02 and 577.85

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Solution

The fourth proportional to 873.09, 1,204.02 and 577.85 is: 796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.09 : 1,204.02 = 577.85 : x
  2. Step 2: Convert to fraction form
    873.09/1,204.02 = 577.85/x
  3. Step 3: Cross multiply
    873.09x = 1,204.02 × 577.85
  4. Step 4: Simplify right side
    873.09x = 695,736.94
  5. Step 5: Solve for x
    x = 695,736.94/873.09
  6. Step 6: Final answer
    x = 796.87

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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.