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Finding the Fourth Proportional to 846.10, 1,269.83 and 574.09

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Solution

The fourth proportional to 846.10, 1,269.83 and 574.09 is: 861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.10 : 1,269.83 = 574.09 : x
  2. Step 2: Convert to fraction form
    846.10/1,269.83 = 574.09/x
  3. Step 3: Cross multiply
    846.10x = 1,269.83 × 574.09
  4. Step 4: Simplify right side
    846.10x = 728,991.74
  5. Step 5: Solve for x
    x = 728,991.74/846.10
  6. Step 6: Final answer
    x = 861.59

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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.