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Finding the Fourth Proportional to 719.76, 1,074.92 and 712.20

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Solution

The fourth proportional to 719.76, 1,074.92 and 712.20 is: 1,063.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.76 : 1,074.92 = 712.20 : x
  2. Step 2: Convert to fraction form
    719.76/1,074.92 = 712.20/x
  3. Step 3: Cross multiply
    719.76x = 1,074.92 × 712.20
  4. Step 4: Simplify right side
    719.76x = 765,558.02
  5. Step 5: Solve for x
    x = 765,558.02/719.76
  6. Step 6: Final answer
    x = 1,063.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.