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Finding the Fourth Proportional to 1,028.78, 1,543.51 and 683.47

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Solution

The fourth proportional to 1,028.78, 1,543.51 and 683.47 is: 1,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.78 : 1,543.51 = 683.47 : x
  2. Step 2: Convert to fraction form
    1,028.78/1,543.51 = 683.47/x
  3. Step 3: Cross multiply
    1,028.78x = 1,543.51 × 683.47
  4. Step 4: Simplify right side
    1,028.78x = 1,054,942.78
  5. Step 5: Solve for x
    x = 1,054,942.78/1,028.78
  6. Step 6: Final answer
    x = 1,025.43

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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.