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Finding the Fourth Proportional to 453.80, 679.78 and 299.34

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Solution

The fourth proportional to 453.80, 679.78 and 299.34 is: 448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.80 : 679.78 = 299.34 : x
  2. Step 2: Convert to fraction form
    453.80/679.78 = 299.34/x
  3. Step 3: Cross multiply
    453.80x = 679.78 × 299.34
  4. Step 4: Simplify right side
    453.80x = 203,483.85
  5. Step 5: Solve for x
    x = 203,483.85/453.80
  6. Step 6: Final answer
    x = 448.40

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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.