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Finding the Fourth Proportional to 873.11, 1,204.43 and 574.31

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Solution

The fourth proportional to 873.11, 1,204.43 and 574.31 is: 792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.11 : 1,204.43 = 574.31 : x
  2. Step 2: Convert to fraction form
    873.11/1,204.43 = 574.31/x
  3. Step 3: Cross multiply
    873.11x = 1,204.43 × 574.31
  4. Step 4: Simplify right side
    873.11x = 691,707.30
  5. Step 5: Solve for x
    x = 691,707.30/873.11
  6. Step 6: Final answer
    x = 792.24

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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.