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Finding the Fourth Proportional to 452.61, 622.74 and 354.19

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Solution

The fourth proportional to 452.61, 622.74 and 354.19 is: 487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.61 : 622.74 = 354.19 : x
  2. Step 2: Convert to fraction form
    452.61/622.74 = 354.19/x
  3. Step 3: Cross multiply
    452.61x = 622.74 × 354.19
  4. Step 4: Simplify right side
    452.61x = 220,568.28
  5. Step 5: Solve for x
    x = 220,568.28/452.61
  6. Step 6: Final answer
    x = 487.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.