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Finding the Fourth Proportional to 452.90, 683.66 and 448.04

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Solution

The fourth proportional to 452.90, 683.66 and 448.04 is: 676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.90 : 683.66 = 448.04 : x
  2. Step 2: Convert to fraction form
    452.90/683.66 = 448.04/x
  3. Step 3: Cross multiply
    452.90x = 683.66 × 448.04
  4. Step 4: Simplify right side
    452.90x = 306,307.03
  5. Step 5: Solve for x
    x = 306,307.03/452.90
  6. Step 6: Final answer
    x = 676.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.