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Finding the Fourth Proportional to 684.93, 944.48 and 629.45

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Solution

The fourth proportional to 684.93, 944.48 and 629.45 is: 867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.93 : 944.48 = 629.45 : x
  2. Step 2: Convert to fraction form
    684.93/944.48 = 629.45/x
  3. Step 3: Cross multiply
    684.93x = 944.48 × 629.45
  4. Step 4: Simplify right side
    684.93x = 594,499.79
  5. Step 5: Solve for x
    x = 594,499.79/684.93
  6. Step 6: Final answer
    x = 867.97

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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.