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Finding the Fourth Proportional to 458.88, 629.52 and 448.80

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Solution

The fourth proportional to 458.88, 629.52 and 448.80 is: 615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.88 : 629.52 = 448.80 : x
  2. Step 2: Convert to fraction form
    458.88/629.52 = 448.80/x
  3. Step 3: Cross multiply
    458.88x = 629.52 × 448.80
  4. Step 4: Simplify right side
    458.88x = 282,528.58
  5. Step 5: Solve for x
    x = 282,528.58/458.88
  6. Step 6: Final answer
    x = 615.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.