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Finding the Fourth Proportional to 719.38, 1,080.11 and 446.59

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Solution

The fourth proportional to 719.38, 1,080.11 and 446.59 is: 670.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.38 : 1,080.11 = 446.59 : x
  2. Step 2: Convert to fraction form
    719.38/1,080.11 = 446.59/x
  3. Step 3: Cross multiply
    719.38x = 1,080.11 × 446.59
  4. Step 4: Simplify right side
    719.38x = 482,366.32
  5. Step 5: Solve for x
    x = 482,366.32/719.38
  6. Step 6: Final answer
    x = 670.53

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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.