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Finding the Fourth Proportional to 1,798.65, 2,482.20 and 991.07

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Solution

The fourth proportional to 1,798.65, 2,482.20 and 991.07 is: 1,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.65 : 2,482.20 = 991.07 : x
  2. Step 2: Convert to fraction form
    1,798.65/2,482.20 = 991.07/x
  3. Step 3: Cross multiply
    1,798.65x = 2,482.20 × 991.07
  4. Step 4: Simplify right side
    1,798.65x = 2,460,033.95
  5. Step 5: Solve for x
    x = 2,460,033.95/1,798.65
  6. Step 6: Final answer
    x = 1,367.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.