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Finding the Fourth Proportional to 2,282.90, 3,424.34 and 551.53

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Solution

The fourth proportional to 2,282.90, 3,424.34 and 551.53 is: 827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.90 : 3,424.34 = 551.53 : x
  2. Step 2: Convert to fraction form
    2,282.90/3,424.34 = 551.53/x
  3. Step 3: Cross multiply
    2,282.90x = 3,424.34 × 551.53
  4. Step 4: Simplify right side
    2,282.90x = 1,888,626.24
  5. Step 5: Solve for x
    x = 1,888,626.24/2,282.90
  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.