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Finding the Fourth Proportional to 673.10, 1,003.62 and 662.85

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Solution

The fourth proportional to 673.10, 1,003.62 and 662.85 is: 988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.10 : 1,003.62 = 662.85 : x
  2. Step 2: Convert to fraction form
    673.10/1,003.62 = 662.85/x
  3. Step 3: Cross multiply
    673.10x = 1,003.62 × 662.85
  4. Step 4: Simplify right side
    673.10x = 665,249.52
  5. Step 5: Solve for x
    x = 665,249.52/673.10
  6. Step 6: Final answer
    x = 988.34

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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.