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Finding the Fourth Proportional to 471.49, 706.63 and 406.89

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Solution

The fourth proportional to 471.49, 706.63 and 406.89 is: 609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.49 : 706.63 = 406.89 : x
  2. Step 2: Convert to fraction form
    471.49/706.63 = 406.89/x
  3. Step 3: Cross multiply
    471.49x = 706.63 × 406.89
  4. Step 4: Simplify right side
    471.49x = 287,520.68
  5. Step 5: Solve for x
    x = 287,520.68/471.49
  6. Step 6: Final answer
    x = 609.81

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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.