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Finding the Fourth Proportional to 914.99, 1,372.23 and 298.58

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Solution

The fourth proportional to 914.99, 1,372.23 and 298.58 is: 447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.99 : 1,372.23 = 298.58 : x
  2. Step 2: Convert to fraction form
    914.99/1,372.23 = 298.58/x
  3. Step 3: Cross multiply
    914.99x = 1,372.23 × 298.58
  4. Step 4: Simplify right side
    914.99x = 409,713.57
  5. Step 5: Solve for x
    x = 409,713.57/914.99
  6. Step 6: Final answer
    x = 447.78

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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.