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Finding the Fourth Proportional to 1,304.51, 1,796.99 and 1,009.26

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Solution

The fourth proportional to 1,304.51, 1,796.99 and 1,009.26 is: 1,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.51 : 1,796.99 = 1,009.26 : x
  2. Step 2: Convert to fraction form
    1,304.51/1,796.99 = 1,009.26/x
  3. Step 3: Cross multiply
    1,304.51x = 1,796.99 × 1,009.26
  4. Step 4: Simplify right side
    1,304.51x = 1,813,625.08
  5. Step 5: Solve for x
    x = 1,813,625.08/1,304.51
  6. Step 6: Final answer
    x = 1,390.28

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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.