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Finding the Fourth Proportional to 1,305.65, 1,958.46 and 440.57

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Solution

The fourth proportional to 1,305.65, 1,958.46 and 440.57 is: 660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.65 : 1,958.46 = 440.57 : x
  2. Step 2: Convert to fraction form
    1,305.65/1,958.46 = 440.57/x
  3. Step 3: Cross multiply
    1,305.65x = 1,958.46 × 440.57
  4. Step 4: Simplify right side
    1,305.65x = 862,828.93
  5. Step 5: Solve for x
    x = 862,828.93/1,305.65
  6. Step 6: Final answer
    x = 660.84

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Double scale
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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.