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Finding the Fourth Proportional to 684.99, 945.42 and 419.48

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Solution

The fourth proportional to 684.99, 945.42 and 419.48 is: 578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.99 : 945.42 = 419.48 : x
  2. Step 2: Convert to fraction form
    684.99/945.42 = 419.48/x
  3. Step 3: Cross multiply
    684.99x = 945.42 × 419.48
  4. Step 4: Simplify right side
    684.99x = 396,580.05
  5. Step 5: Solve for x
    x = 396,580.05/684.99
  6. Step 6: Final answer
    x = 578.96

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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.