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Finding the Fourth Proportional to 684.15, 944.26 and 605.98

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Solution

The fourth proportional to 684.15, 944.26 and 605.98 is: 836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.15 : 944.26 = 605.98 : x
  2. Step 2: Convert to fraction form
    684.15/944.26 = 605.98/x
  3. Step 3: Cross multiply
    684.15x = 944.26 × 605.98
  4. Step 4: Simplify right side
    684.15x = 572,202.34
  5. Step 5: Solve for x
    x = 572,202.34/684.15
  6. Step 6: Final answer
    x = 836.37

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Why These Related Problems?

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