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Finding the Fourth Proportional to 453.19, 682.07 and 408.46

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Solution

The fourth proportional to 453.19, 682.07 and 408.46 is: 614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.19 : 682.07 = 408.46 : x
  2. Step 2: Convert to fraction form
    453.19/682.07 = 408.46/x
  3. Step 3: Cross multiply
    453.19x = 682.07 × 408.46
  4. Step 4: Simplify right side
    453.19x = 278,598.31
  5. Step 5: Solve for x
    x = 278,598.31/453.19
  6. Step 6: Final answer
    x = 614.75

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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.