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Finding the Fourth Proportional to 2,304, 3,456.54 and 765

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Solution

The fourth proportional to 2,304, 3,456.54 and 765 is: 1,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304 : 3,456.54 = 765 : x
  2. Step 2: Convert to fraction form
    2,304/3,456.54 = 765/x
  3. Step 3: Cross multiply
    2,304x = 3,456.54 × 765
  4. Step 4: Simplify right side
    2,304x = 2,644,253.10
  5. Step 5: Solve for x
    x = 2,644,253.10/2,304
  6. Step 6: Final answer
    x = 1,147.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.