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Finding the Fourth Proportional to 453.58, 676.33 and 418.12

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Solution

The fourth proportional to 453.58, 676.33 and 418.12 is: 623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.58 : 676.33 = 418.12 : x
  2. Step 2: Convert to fraction form
    453.58/676.33 = 418.12/x
  3. Step 3: Cross multiply
    453.58x = 676.33 × 418.12
  4. Step 4: Simplify right side
    453.58x = 282,787.10
  5. Step 5: Solve for x
    x = 282,787.10/453.58
  6. Step 6: Final answer
    x = 623.46

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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.