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Finding the Fourth Proportional to 1,726.49, 2,382.47 and 980.52

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Solution

The fourth proportional to 1,726.49, 2,382.47 and 980.52 is: 1,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.49 : 2,382.47 = 980.52 : x
  2. Step 2: Convert to fraction form
    1,726.49/2,382.47 = 980.52/x
  3. Step 3: Cross multiply
    1,726.49x = 2,382.47 × 980.52
  4. Step 4: Simplify right side
    1,726.49x = 2,336,054.58
  5. Step 5: Solve for x
    x = 2,336,054.58/1,726.49
  6. Step 6: Final answer
    x = 1,353.07

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