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Finding the Fourth Proportional to 719.97, 1,078.94 and 411.36

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Solution

The fourth proportional to 719.97, 1,078.94 and 411.36 is: 616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.97 : 1,078.94 = 411.36 : x
  2. Step 2: Convert to fraction form
    719.97/1,078.94 = 411.36/x
  3. Step 3: Cross multiply
    719.97x = 1,078.94 × 411.36
  4. Step 4: Simplify right side
    719.97x = 443,829.55
  5. Step 5: Solve for x
    x = 443,829.55/719.97
  6. Step 6: Final answer
    x = 616.46

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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.