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Finding the Fourth Proportional to 719.56, 1,079.28 and 308.68

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Solution

The fourth proportional to 719.56, 1,079.28 and 308.68 is: 462.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.56 : 1,079.28 = 308.68 : x
  2. Step 2: Convert to fraction form
    719.56/1,079.28 = 308.68/x
  3. Step 3: Cross multiply
    719.56x = 1,079.28 × 308.68
  4. Step 4: Simplify right side
    719.56x = 333,152.15
  5. Step 5: Solve for x
    x = 333,152.15/719.56
  6. Step 6: Final answer
    x = 462.99

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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.