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Finding the Fourth Proportional to 1,097.56, 1,512.03 and 765.39

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Solution

The fourth proportional to 1,097.56, 1,512.03 and 765.39 is: 1,054.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.56 : 1,512.03 = 765.39 : x
  2. Step 2: Convert to fraction form
    1,097.56/1,512.03 = 765.39/x
  3. Step 3: Cross multiply
    1,097.56x = 1,512.03 × 765.39
  4. Step 4: Simplify right side
    1,097.56x = 1,157,292.64
  5. Step 5: Solve for x
    x = 1,157,292.64/1,097.56
  6. Step 6: Final answer
    x = 1,054.42

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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.