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Finding the Fourth Proportional to 1,706.14, 2,559.18 and 551.89

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Solution

The fourth proportional to 1,706.14, 2,559.18 and 551.89 is: 827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.14 : 2,559.18 = 551.89 : x
  2. Step 2: Convert to fraction form
    1,706.14/2,559.18 = 551.89/x
  3. Step 3: Cross multiply
    1,706.14x = 2,559.18 × 551.89
  4. Step 4: Simplify right side
    1,706.14x = 1,412,385.85
  5. Step 5: Solve for x
    x = 1,412,385.85/1,706.14
  6. Step 6: Final answer
    x = 827.83

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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.