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Finding the Fourth Proportional to 914.97, 1,372.76 and 298.70

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Solution

The fourth proportional to 914.97, 1,372.76 and 298.70 is: 448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.97 : 1,372.76 = 298.70 : x
  2. Step 2: Convert to fraction form
    914.97/1,372.76 = 298.70/x
  3. Step 3: Cross multiply
    914.97x = 1,372.76 × 298.70
  4. Step 4: Simplify right side
    914.97x = 410,043.41
  5. Step 5: Solve for x
    x = 410,043.41/914.97
  6. Step 6: Final answer
    x = 448.15

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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.