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Finding the Fourth Proportional to 454.85, 685.92 and 448.70

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Solution

The fourth proportional to 454.85, 685.92 and 448.70 is: 676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.85 : 685.92 = 448.70 : x
  2. Step 2: Convert to fraction form
    454.85/685.92 = 448.70/x
  3. Step 3: Cross multiply
    454.85x = 685.92 × 448.70
  4. Step 4: Simplify right side
    454.85x = 307,771.35
  5. Step 5: Solve for x
    x = 307,771.35/454.85
  6. Step 6: Final answer
    x = 676.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.