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Finding the Fourth Proportional to 800.22, 1,200.67 and 435.27

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Solution

The fourth proportional to 800.22, 1,200.67 and 435.27 is: 653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.22 : 1,200.67 = 435.27 : x
  2. Step 2: Convert to fraction form
    800.22/1,200.67 = 435.27/x
  3. Step 3: Cross multiply
    800.22x = 1,200.67 × 435.27
  4. Step 4: Simplify right side
    800.22x = 522,615.63
  5. Step 5: Solve for x
    x = 522,615.63/800.22
  6. Step 6: Final answer
    x = 653.09

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