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Finding the Fourth Proportional to 905.05, 1,247.74 and 719.16

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Solution

The fourth proportional to 905.05, 1,247.74 and 719.16 is: 991.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.05 : 1,247.74 = 719.16 : x
  2. Step 2: Convert to fraction form
    905.05/1,247.74 = 719.16/x
  3. Step 3: Cross multiply
    905.05x = 1,247.74 × 719.16
  4. Step 4: Simplify right side
    905.05x = 897,324.70
  5. Step 5: Solve for x
    x = 897,324.70/905.05
  6. Step 6: Final answer
    x = 991.46

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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.