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Finding the Fourth Proportional to 453.79, 676.76 and 385.75

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Solution

The fourth proportional to 453.79, 676.76 and 385.75 is: 575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.79 : 676.76 = 385.75 : x
  2. Step 2: Convert to fraction form
    453.79/676.76 = 385.75/x
  3. Step 3: Cross multiply
    453.79x = 676.76 × 385.75
  4. Step 4: Simplify right side
    453.79x = 261,060.17
  5. Step 5: Solve for x
    x = 261,060.17/453.79
  6. Step 6: Final answer
    x = 575.29

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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.