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Finding the Fourth Proportional to 1,260.65, 1,891.41 and 394.95

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Solution

The fourth proportional to 1,260.65, 1,891.41 and 394.95 is: 592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.65 : 1,891.41 = 394.95 : x
  2. Step 2: Convert to fraction form
    1,260.65/1,891.41 = 394.95/x
  3. Step 3: Cross multiply
    1,260.65x = 1,891.41 × 394.95
  4. Step 4: Simplify right side
    1,260.65x = 747,012.38
  5. Step 5: Solve for x
    x = 747,012.38/1,260.65
  6. Step 6: Final answer
    x = 592.56

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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.