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Finding the Fourth Proportional to 983.44, 1,474.60 and 455.76

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Solution

The fourth proportional to 983.44, 1,474.60 and 455.76 is: 683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.44 : 1,474.60 = 455.76 : x
  2. Step 2: Convert to fraction form
    983.44/1,474.60 = 455.76/x
  3. Step 3: Cross multiply
    983.44x = 1,474.60 × 455.76
  4. Step 4: Simplify right side
    983.44x = 672,063.70
  5. Step 5: Solve for x
    x = 672,063.70/983.44
  6. Step 6: Final answer
    x = 683.38

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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.