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Finding the Fourth Proportional to 719.92, 1,078.26 and 686.44

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Solution

The fourth proportional to 719.92, 1,078.26 and 686.44 is: 1,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.92 : 1,078.26 = 686.44 : x
  2. Step 2: Convert to fraction form
    719.92/1,078.26 = 686.44/x
  3. Step 3: Cross multiply
    719.92x = 1,078.26 × 686.44
  4. Step 4: Simplify right side
    719.92x = 740,160.79
  5. Step 5: Solve for x
    x = 740,160.79/719.92
  6. Step 6: Final answer
    x = 1,028.12

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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.