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Finding the Fourth Proportional to 1,014.41, 1,396.26 and 719.16

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Solution

The fourth proportional to 1,014.41, 1,396.26 and 719.16 is: 989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.41 : 1,396.26 = 719.16 : x
  2. Step 2: Convert to fraction form
    1,014.41/1,396.26 = 719.16/x
  3. Step 3: Cross multiply
    1,014.41x = 1,396.26 × 719.16
  4. Step 4: Simplify right side
    1,014.41x = 1,004,134.34
  5. Step 5: Solve for x
    x = 1,004,134.34/1,014.41
  6. Step 6: Final answer
    x = 989.88

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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.