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Finding the Fourth Proportional to 719.91, 1,079.25 and 308.67

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Solution

The fourth proportional to 719.91, 1,079.25 and 308.67 is: 462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.91 : 1,079.25 = 308.67 : x
  2. Step 2: Convert to fraction form
    719.91/1,079.25 = 308.67/x
  3. Step 3: Cross multiply
    719.91x = 1,079.25 × 308.67
  4. Step 4: Simplify right side
    719.91x = 333,132.10
  5. Step 5: Solve for x
    x = 333,132.10/719.91
  6. Step 6: Final answer
    x = 462.74

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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.