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Finding the Fourth Proportional to 454.50, 676.94 and 431.37

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Solution

The fourth proportional to 454.50, 676.94 and 431.37 is: 642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.50 : 676.94 = 431.37 : x
  2. Step 2: Convert to fraction form
    454.50/676.94 = 431.37/x
  3. Step 3: Cross multiply
    454.50x = 676.94 × 431.37
  4. Step 4: Simplify right side
    454.50x = 292,009.45
  5. Step 5: Solve for x
    x = 292,009.45/454.50
  6. Step 6: Final answer
    x = 642.49

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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.