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Finding the Fourth Proportional to 719.45, 1,078.71 and 394.73

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Solution

The fourth proportional to 719.45, 1,078.71 and 394.73 is: 591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.45 : 1,078.71 = 394.73 : x
  2. Step 2: Convert to fraction form
    719.45/1,078.71 = 394.73/x
  3. Step 3: Cross multiply
    719.45x = 1,078.71 × 394.73
  4. Step 4: Simplify right side
    719.45x = 425,799.20
  5. Step 5: Solve for x
    x = 425,799.20/719.45
  6. Step 6: Final answer
    x = 591.84

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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.