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Finding the Fourth Proportional to 1,214.78, 1,676.34 and 683.78

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Solution

The fourth proportional to 1,214.78, 1,676.34 and 683.78 is: 943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.78 : 1,676.34 = 683.78 : x
  2. Step 2: Convert to fraction form
    1,214.78/1,676.34 = 683.78/x
  3. Step 3: Cross multiply
    1,214.78x = 1,676.34 × 683.78
  4. Step 4: Simplify right side
    1,214.78x = 1,146,239.38
  5. Step 5: Solve for x
    x = 1,146,239.38/1,214.78
  6. Step 6: Final answer
    x = 943.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.