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Finding the Fourth Proportional to 719.87, 1,079.79 and 411.06

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Solution

The fourth proportional to 719.87, 1,079.79 and 411.06 is: 616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.87 : 1,079.79 = 411.06 : x
  2. Step 2: Convert to fraction form
    719.87/1,079.79 = 411.06/x
  3. Step 3: Cross multiply
    719.87x = 1,079.79 × 411.06
  4. Step 4: Simplify right side
    719.87x = 443,858.48
  5. Step 5: Solve for x
    x = 443,858.48/719.87
  6. Step 6: Final answer
    x = 616.58

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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.