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Finding the Fourth Proportional to 719.11, 1,078.36 and 256.73

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Solution

The fourth proportional to 719.11, 1,078.36 and 256.73 is: 384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.11 : 1,078.36 = 256.73 : x
  2. Step 2: Convert to fraction form
    719.11/1,078.36 = 256.73/x
  3. Step 3: Cross multiply
    719.11x = 1,078.36 × 256.73
  4. Step 4: Simplify right side
    719.11x = 276,847.36
  5. Step 5: Solve for x
    x = 276,847.36/719.11
  6. Step 6: Final answer
    x = 384.99

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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.