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Finding the Fourth Proportional to 719.12, 1,077.96 and 308

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Solution

The fourth proportional to 719.12, 1,077.96 and 308 is: 461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.12 : 1,077.96 = 308 : x
  2. Step 2: Convert to fraction form
    719.12/1,077.96 = 308/x
  3. Step 3: Cross multiply
    719.12x = 1,077.96 × 308
  4. Step 4: Simplify right side
    719.12x = 332,011.68
  5. Step 5: Solve for x
    x = 332,011.68/719.12
  6. Step 6: Final answer
    x = 461.69

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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.