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Finding the Fourth Proportional to 453.31, 676.02 and 409.57

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Solution

The fourth proportional to 453.31, 676.02 and 409.57 is: 610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.31 : 676.02 = 409.57 : x
  2. Step 2: Convert to fraction form
    453.31/676.02 = 409.57/x
  3. Step 3: Cross multiply
    453.31x = 676.02 × 409.57
  4. Step 4: Simplify right side
    453.31x = 276,877.51
  5. Step 5: Solve for x
    x = 276,877.51/453.31
  6. Step 6: Final answer
    x = 610.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.