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Finding the Fourth Proportional to 1,705.96, 2,558.85 and 551.62

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Solution

The fourth proportional to 1,705.96, 2,558.85 and 551.62 is: 827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.96 : 2,558.85 = 551.62 : x
  2. Step 2: Convert to fraction form
    1,705.96/2,558.85 = 551.62/x
  3. Step 3: Cross multiply
    1,705.96x = 2,558.85 × 551.62
  4. Step 4: Simplify right side
    1,705.96x = 1,411,512.84
  5. Step 5: Solve for x
    x = 1,411,512.84/1,705.96
  6. Step 6: Final answer
    x = 827.40

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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.