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Finding the Fourth Proportional to 2,350.46, 3,525.75 and 706.83

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Solution

The fourth proportional to 2,350.46, 3,525.75 and 706.83 is: 1,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.46 : 3,525.75 = 706.83 : x
  2. Step 2: Convert to fraction form
    2,350.46/3,525.75 = 706.83/x
  3. Step 3: Cross multiply
    2,350.46x = 3,525.75 × 706.83
  4. Step 4: Simplify right side
    2,350.46x = 2,492,105.87
  5. Step 5: Solve for x
    x = 2,492,105.87/2,350.46
  6. Step 6: Final answer
    x = 1,060.27

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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.