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Finding the Fourth Proportional to 957.01, 1,431.73 and 683.77

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Solution

The fourth proportional to 957.01, 1,431.73 and 683.77 is: 1,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.01 : 1,431.73 = 683.77 : x
  2. Step 2: Convert to fraction form
    957.01/1,431.73 = 683.77/x
  3. Step 3: Cross multiply
    957.01x = 1,431.73 × 683.77
  4. Step 4: Simplify right side
    957.01x = 978,974.02
  5. Step 5: Solve for x
    x = 978,974.02/957.01
  6. Step 6: Final answer
    x = 1,022.95

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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.