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Finding the Fourth Proportional to 676.72, 1,012.80 and 494.44

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Solution

The fourth proportional to 676.72, 1,012.80 and 494.44 is: 739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.72 : 1,012.80 = 494.44 : x
  2. Step 2: Convert to fraction form
    676.72/1,012.80 = 494.44/x
  3. Step 3: Cross multiply
    676.72x = 1,012.80 × 494.44
  4. Step 4: Simplify right side
    676.72x = 500,768.83
  5. Step 5: Solve for x
    x = 500,768.83/676.72
  6. Step 6: Final answer
    x = 739.99

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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.