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Finding the Fourth Proportional to 1,297.35, 1,946.27 and 420.09

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Solution

The fourth proportional to 1,297.35, 1,946.27 and 420.09 is: 630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.35 : 1,946.27 = 420.09 : x
  2. Step 2: Convert to fraction form
    1,297.35/1,946.27 = 420.09/x
  3. Step 3: Cross multiply
    1,297.35x = 1,946.27 × 420.09
  4. Step 4: Simplify right side
    1,297.35x = 817,608.56
  5. Step 5: Solve for x
    x = 817,608.56/1,297.35
  6. Step 6: Final answer
    x = 630.21

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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.