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Finding the Fourth Proportional to 2,323.52, 3,485.74 and 680.10

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Solution

The fourth proportional to 2,323.52, 3,485.74 and 680.10 is: 1,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.52 : 3,485.74 = 680.10 : x
  2. Step 2: Convert to fraction form
    2,323.52/3,485.74 = 680.10/x
  3. Step 3: Cross multiply
    2,323.52x = 3,485.74 × 680.10
  4. Step 4: Simplify right side
    2,323.52x = 2,370,651.77
  5. Step 5: Solve for x
    x = 2,370,651.77/2,323.52
  6. Step 6: Final answer
    x = 1,020.28

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