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Finding the Fourth Proportional to 1,269.36, 1,751.14 and 765.42

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Solution

The fourth proportional to 1,269.36, 1,751.14 and 765.42 is: 1,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.36 : 1,751.14 = 765.42 : x
  2. Step 2: Convert to fraction form
    1,269.36/1,751.14 = 765.42/x
  3. Step 3: Cross multiply
    1,269.36x = 1,751.14 × 765.42
  4. Step 4: Simplify right side
    1,269.36x = 1,340,357.58
  5. Step 5: Solve for x
    x = 1,340,357.58/1,269.36
  6. Step 6: Final answer
    x = 1,055.93

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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.