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Finding the Fourth Proportional to 1,305.96, 1,959.17 and 440.07

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Solution

The fourth proportional to 1,305.96, 1,959.17 and 440.07 is: 660.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.96 : 1,959.17 = 440.07 : x
  2. Step 2: Convert to fraction form
    1,305.96/1,959.17 = 440.07/x
  3. Step 3: Cross multiply
    1,305.96x = 1,959.17 × 440.07
  4. Step 4: Simplify right side
    1,305.96x = 862,169.74
  5. Step 5: Solve for x
    x = 862,169.74/1,305.96
  6. Step 6: Final answer
    x = 660.18

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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.