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Finding the Fourth Proportional to 458.44, 684.29 and 419.97

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Solution

The fourth proportional to 458.44, 684.29 and 419.97 is: 626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.44 : 684.29 = 419.97 : x
  2. Step 2: Convert to fraction form
    458.44/684.29 = 419.97/x
  3. Step 3: Cross multiply
    458.44x = 684.29 × 419.97
  4. Step 4: Simplify right side
    458.44x = 287,381.27
  5. Step 5: Solve for x
    x = 287,381.27/458.44
  6. Step 6: Final answer
    x = 626.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.