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Finding the Fourth Proportional to 676.22, 1,007.68 and 670.54

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Solution

The fourth proportional to 676.22, 1,007.68 and 670.54 is: 999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.22 : 1,007.68 = 670.54 : x
  2. Step 2: Convert to fraction form
    676.22/1,007.68 = 670.54/x
  3. Step 3: Cross multiply
    676.22x = 1,007.68 × 670.54
  4. Step 4: Simplify right side
    676.22x = 675,689.75
  5. Step 5: Solve for x
    x = 675,689.75/676.22
  6. Step 6: Final answer
    x = 999.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.