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Finding the Fourth Proportional to 453, 679.56 and 381.72

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Solution

The fourth proportional to 453, 679.56 and 381.72 is: 572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    453 : 679.56 = 381.72 : x
  2. Step 2: Convert to fraction form
    453/679.56 = 381.72/x
  3. Step 3: Cross multiply
    453x = 679.56 × 381.72
  4. Step 4: Simplify right side
    453x = 259,401.64
  5. Step 5: Solve for x
    x = 259,401.64/453
  6. Step 6: Final answer
    x = 572.63

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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.