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Finding the Fourth Proportional to 1,028.78, 1,543.30 and 379.42

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Solution

The fourth proportional to 1,028.78, 1,543.30 and 379.42 is: 569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.78 : 1,543.30 = 379.42 : x
  2. Step 2: Convert to fraction form
    1,028.78/1,543.30 = 379.42/x
  3. Step 3: Cross multiply
    1,028.78x = 1,543.30 × 379.42
  4. Step 4: Simplify right side
    1,028.78x = 585,558.89
  5. Step 5: Solve for x
    x = 585,558.89/1,028.78
  6. Step 6: Final answer
    x = 569.18

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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.