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Finding the Fourth Proportional to 719.87, 1,080.48 and 411.66

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Solution

The fourth proportional to 719.87, 1,080.48 and 411.66 is: 617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.87 : 1,080.48 = 411.66 : x
  2. Step 2: Convert to fraction form
    719.87/1,080.48 = 411.66/x
  3. Step 3: Cross multiply
    719.87x = 1,080.48 × 411.66
  4. Step 4: Simplify right side
    719.87x = 444,790.40
  5. Step 5: Solve for x
    x = 444,790.40/719.87
  6. Step 6: Final answer
    x = 617.88

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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.