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Finding the Fourth Proportional to 676.38, 1,012.77 and 568.38

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Solution

The fourth proportional to 676.38, 1,012.77 and 568.38 is: 851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.38 : 1,012.77 = 568.38 : x
  2. Step 2: Convert to fraction form
    676.38/1,012.77 = 568.38/x
  3. Step 3: Cross multiply
    676.38x = 1,012.77 × 568.38
  4. Step 4: Simplify right side
    676.38x = 575,638.21
  5. Step 5: Solve for x
    x = 575,638.21/676.38
  6. Step 6: Final answer
    x = 851.06

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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.