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Finding the Fourth Proportional to 648.44, 970.74 and 419.96

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Solution

The fourth proportional to 648.44, 970.74 and 419.96 is: 628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.44 : 970.74 = 419.96 : x
  2. Step 2: Convert to fraction form
    648.44/970.74 = 419.96/x
  3. Step 3: Cross multiply
    648.44x = 970.74 × 419.96
  4. Step 4: Simplify right side
    648.44x = 407,671.97
  5. Step 5: Solve for x
    x = 407,671.97/648.44
  6. Step 6: Final answer
    x = 628.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.