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Finding the Fourth Proportional to 683.48, 1,023.68 and 436.68

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Solution

The fourth proportional to 683.48, 1,023.68 and 436.68 is: 654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.48 : 1,023.68 = 436.68 : x
  2. Step 2: Convert to fraction form
    683.48/1,023.68 = 436.68/x
  3. Step 3: Cross multiply
    683.48x = 1,023.68 × 436.68
  4. Step 4: Simplify right side
    683.48x = 447,020.58
  5. Step 5: Solve for x
    x = 447,020.58/683.48
  6. Step 6: Final answer
    x = 654.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.