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Finding the Fourth Proportional to 2,323.38, 3,485.09 and 763.50

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Solution

The fourth proportional to 2,323.38, 3,485.09 and 763.50 is: 1,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.38 : 3,485.09 = 763.50 : x
  2. Step 2: Convert to fraction form
    2,323.38/3,485.09 = 763.50/x
  3. Step 3: Cross multiply
    2,323.38x = 3,485.09 × 763.50
  4. Step 4: Simplify right side
    2,323.38x = 2,660,866.22
  5. Step 5: Solve for x
    x = 2,660,866.22/2,323.38
  6. Step 6: Final answer
    x = 1,145.26

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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.