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Finding the Fourth Proportional to 994.51, 1,491.45 and 820.73

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Solution

The fourth proportional to 994.51, 1,491.45 and 820.73 is: 1,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.51 : 1,491.45 = 820.73 : x
  2. Step 2: Convert to fraction form
    994.51/1,491.45 = 820.73/x
  3. Step 3: Cross multiply
    994.51x = 1,491.45 × 820.73
  4. Step 4: Simplify right side
    994.51x = 1,224,077.76
  5. Step 5: Solve for x
    x = 1,224,077.76/994.51
  6. Step 6: Final answer
    x = 1,230.84

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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.