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Finding the Fourth Proportional to 1,305.99, 1,958.04 and 657.18

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Solution

The fourth proportional to 1,305.99, 1,958.04 and 657.18 is: 985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.99 : 1,958.04 = 657.18 : x
  2. Step 2: Convert to fraction form
    1,305.99/1,958.04 = 657.18/x
  3. Step 3: Cross multiply
    1,305.99x = 1,958.04 × 657.18
  4. Step 4: Simplify right side
    1,305.99x = 1,286,784.73
  5. Step 5: Solve for x
    x = 1,286,784.73/1,305.99
  6. Step 6: Final answer
    x = 985.29

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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.