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Finding the Fourth Proportional to 1,706.43, 2,559.08 and 551.91

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Solution

The fourth proportional to 1,706.43, 2,559.08 and 551.91 is: 827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.43 : 2,559.08 = 551.91 : x
  2. Step 2: Convert to fraction form
    1,706.43/2,559.08 = 551.91/x
  3. Step 3: Cross multiply
    1,706.43x = 2,559.08 × 551.91
  4. Step 4: Simplify right side
    1,706.43x = 1,412,381.84
  5. Step 5: Solve for x
    x = 1,412,381.84/1,706.43
  6. Step 6: Final answer
    x = 827.68

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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.