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Finding the Fourth Proportional to 994.20, 1,488.53 and 504.84

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Solution

The fourth proportional to 994.20, 1,488.53 and 504.84 is: 755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.20 : 1,488.53 = 504.84 : x
  2. Step 2: Convert to fraction form
    994.20/1,488.53 = 504.84/x
  3. Step 3: Cross multiply
    994.20x = 1,488.53 × 504.84
  4. Step 4: Simplify right side
    994.20x = 751,466.96
  5. Step 5: Solve for x
    x = 751,466.96/994.20
  6. Step 6: Final answer
    x = 755.85

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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.