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Finding the Fourth Proportional to 454.47, 627.64 and 371.85

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Solution

The fourth proportional to 454.47, 627.64 and 371.85 is: 513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.47 : 627.64 = 371.85 : x
  2. Step 2: Convert to fraction form
    454.47/627.64 = 371.85/x
  3. Step 3: Cross multiply
    454.47x = 627.64 × 371.85
  4. Step 4: Simplify right side
    454.47x = 233,387.93
  5. Step 5: Solve for x
    x = 233,387.93/454.47
  6. Step 6: Final answer
    x = 513.54

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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.