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Finding the Fourth Proportional to 468.43, 706.09 and 439.81

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Solution

The fourth proportional to 468.43, 706.09 and 439.81 is: 662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.43 : 706.09 = 439.81 : x
  2. Step 2: Convert to fraction form
    468.43/706.09 = 439.81/x
  3. Step 3: Cross multiply
    468.43x = 706.09 × 439.81
  4. Step 4: Simplify right side
    468.43x = 310,545.44
  5. Step 5: Solve for x
    x = 310,545.44/468.43
  6. Step 6: Final answer
    x = 662.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.