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Finding the Fourth Proportional to 998.35, 1,378.19 and 749.28

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Solution

The fourth proportional to 998.35, 1,378.19 and 749.28 is: 1,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.35 : 1,378.19 = 749.28 : x
  2. Step 2: Convert to fraction form
    998.35/1,378.19 = 749.28/x
  3. Step 3: Cross multiply
    998.35x = 1,378.19 × 749.28
  4. Step 4: Simplify right side
    998.35x = 1,032,643.51
  5. Step 5: Solve for x
    x = 1,032,643.51/998.35
  6. Step 6: Final answer
    x = 1,034.35

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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.