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Finding the Fourth Proportional to 455.71, 629.23 and 454.80

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Solution

The fourth proportional to 455.71, 629.23 and 454.80 is: 627.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.71 : 629.23 = 454.80 : x
  2. Step 2: Convert to fraction form
    455.71/629.23 = 454.80/x
  3. Step 3: Cross multiply
    455.71x = 629.23 × 454.80
  4. Step 4: Simplify right side
    455.71x = 286,173.80
  5. Step 5: Solve for x
    x = 286,173.80/455.71
  6. Step 6: Final answer
    x = 627.97

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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.