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Finding the Fourth Proportional to 719.96, 1,078.26 and 674.84

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Solution

The fourth proportional to 719.96, 1,078.26 and 674.84 is: 1,010.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.96 : 1,078.26 = 674.84 : x
  2. Step 2: Convert to fraction form
    719.96/1,078.26 = 674.84/x
  3. Step 3: Cross multiply
    719.96x = 1,078.26 × 674.84
  4. Step 4: Simplify right side
    719.96x = 727,652.98
  5. Step 5: Solve for x
    x = 727,652.98/719.96
  6. Step 6: Final answer
    x = 1,010.69

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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.