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Finding the Fourth Proportional to 452.25, 620.36 and 448.35

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Solution

The fourth proportional to 452.25, 620.36 and 448.35 is: 615.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.25 : 620.36 = 448.35 : x
  2. Step 2: Convert to fraction form
    452.25/620.36 = 448.35/x
  3. Step 3: Cross multiply
    452.25x = 620.36 × 448.35
  4. Step 4: Simplify right side
    452.25x = 278,136.16
  5. Step 5: Solve for x
    x = 278,136.16/452.25
  6. Step 6: Final answer
    x = 615.01

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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.