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Finding the Fourth Proportional to 452.70, 683.07 and 446.30

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Solution

The fourth proportional to 452.70, 683.07 and 446.30 is: 673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.70 : 683.07 = 446.30 : x
  2. Step 2: Convert to fraction form
    452.70/683.07 = 446.30/x
  3. Step 3: Cross multiply
    452.70x = 683.07 × 446.30
  4. Step 4: Simplify right side
    452.70x = 304,851.91
  5. Step 5: Solve for x
    x = 304,851.91/452.70
  6. Step 6: Final answer
    x = 673.41

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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.