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Finding the Fourth Proportional to 1,262.87, 1,894.17 and 441.16

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Solution

The fourth proportional to 1,262.87, 1,894.17 and 441.16 is: 661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.87 : 1,894.17 = 441.16 : x
  2. Step 2: Convert to fraction form
    1,262.87/1,894.17 = 441.16/x
  3. Step 3: Cross multiply
    1,262.87x = 1,894.17 × 441.16
  4. Step 4: Simplify right side
    1,262.87x = 835,625.65
  5. Step 5: Solve for x
    x = 835,625.65/1,262.87
  6. Step 6: Final answer
    x = 661.69

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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.