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Finding the Fourth Proportional to 684.03, 943.68 and 421.59

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Solution

The fourth proportional to 684.03, 943.68 and 421.59 is: 581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.03 : 943.68 = 421.59 : x
  2. Step 2: Convert to fraction form
    684.03/943.68 = 421.59/x
  3. Step 3: Cross multiply
    684.03x = 943.68 × 421.59
  4. Step 4: Simplify right side
    684.03x = 397,846.05
  5. Step 5: Solve for x
    x = 397,846.05/684.03
  6. Step 6: Final answer
    x = 581.62

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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.