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Finding the Fourth Proportional to 1,297, 1,945.69 and 419.21

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Solution

The fourth proportional to 1,297, 1,945.69 and 419.21 is: 628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297 : 1,945.69 = 419.21 : x
  2. Step 2: Convert to fraction form
    1,297/1,945.69 = 419.21/x
  3. Step 3: Cross multiply
    1,297x = 1,945.69 × 419.21
  4. Step 4: Simplify right side
    1,297x = 815,652.70
  5. Step 5: Solve for x
    x = 815,652.70/1,297
  6. Step 6: Final answer
    x = 628.88

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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.