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Finding the Fourth Proportional to 1,705.34, 2,558.49 and 551.42

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Solution

The fourth proportional to 1,705.34, 2,558.49 and 551.42 is: 827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.34 : 2,558.49 = 551.42 : x
  2. Step 2: Convert to fraction form
    1,705.34/2,558.49 = 551.42/x
  3. Step 3: Cross multiply
    1,705.34x = 2,558.49 × 551.42
  4. Step 4: Simplify right side
    1,705.34x = 1,410,802.56
  5. Step 5: Solve for x
    x = 1,410,802.56/1,705.34
  6. Step 6: Final answer
    x = 827.29

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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.