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Finding the Fourth Proportional to 453.68, 681.34 and 406.70

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Solution

The fourth proportional to 453.68, 681.34 and 406.70 is: 610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.68 : 681.34 = 406.70 : x
  2. Step 2: Convert to fraction form
    453.68/681.34 = 406.70/x
  3. Step 3: Cross multiply
    453.68x = 681.34 × 406.70
  4. Step 4: Simplify right side
    453.68x = 277,100.98
  5. Step 5: Solve for x
    x = 277,100.98/453.68
  6. Step 6: Final answer
    x = 610.79

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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.