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Finding the Fourth Proportional to 719.28, 1,078.29 and 256.86

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Solution

The fourth proportional to 719.28, 1,078.29 and 256.86 is: 385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.28 : 1,078.29 = 256.86 : x
  2. Step 2: Convert to fraction form
    719.28/1,078.29 = 256.86/x
  3. Step 3: Cross multiply
    719.28x = 1,078.29 × 256.86
  4. Step 4: Simplify right side
    719.28x = 276,969.57
  5. Step 5: Solve for x
    x = 276,969.57/719.28
  6. Step 6: Final answer
    x = 385.07

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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.