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Finding the Fourth Proportional to 474.25, 655.68 and 453.85

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Solution

The fourth proportional to 474.25, 655.68 and 453.85 is: 627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.25 : 655.68 = 453.85 : x
  2. Step 2: Convert to fraction form
    474.25/655.68 = 453.85/x
  3. Step 3: Cross multiply
    474.25x = 655.68 × 453.85
  4. Step 4: Simplify right side
    474.25x = 297,580.37
  5. Step 5: Solve for x
    x = 297,580.37/474.25
  6. Step 6: Final answer
    x = 627.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.