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Finding the Fourth Proportional to 1,028.49, 1,418.09 and 713.51

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Solution

The fourth proportional to 1,028.49, 1,418.09 and 713.51 is: 983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.49 : 1,418.09 = 713.51 : x
  2. Step 2: Convert to fraction form
    1,028.49/1,418.09 = 713.51/x
  3. Step 3: Cross multiply
    1,028.49x = 1,418.09 × 713.51
  4. Step 4: Simplify right side
    1,028.49x = 1,011,816.06
  5. Step 5: Solve for x
    x = 1,011,816.06/1,028.49
  6. Step 6: Final answer
    x = 983.79

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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.