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Finding the Fourth Proportional to 468.83, 706.05 and 408.69

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Solution

The fourth proportional to 468.83, 706.05 and 408.69 is: 615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.83 : 706.05 = 408.69 : x
  2. Step 2: Convert to fraction form
    468.83/706.05 = 408.69/x
  3. Step 3: Cross multiply
    468.83x = 706.05 × 408.69
  4. Step 4: Simplify right side
    468.83x = 288,553.53
  5. Step 5: Solve for x
    x = 288,553.53/468.83
  6. Step 6: Final answer
    x = 615.48

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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.