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Finding the Fourth Proportional to 845.99, 1,269.23 and 298.23

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Solution

The fourth proportional to 845.99, 1,269.23 and 298.23 is: 447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.99 : 1,269.23 = 298.23 : x
  2. Step 2: Convert to fraction form
    845.99/1,269.23 = 298.23/x
  3. Step 3: Cross multiply
    845.99x = 1,269.23 × 298.23
  4. Step 4: Simplify right side
    845.99x = 378,522.46
  5. Step 5: Solve for x
    x = 378,522.46/845.99
  6. Step 6: Final answer
    x = 447.43

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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.