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Finding the Fourth Proportional to 2,300.70, 3,451.63 and 657.26

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Solution

The fourth proportional to 2,300.70, 3,451.63 and 657.26 is: 986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.70 : 3,451.63 = 657.26 : x
  2. Step 2: Convert to fraction form
    2,300.70/3,451.63 = 657.26/x
  3. Step 3: Cross multiply
    2,300.70x = 3,451.63 × 657.26
  4. Step 4: Simplify right side
    2,300.70x = 2,268,633.02
  5. Step 5: Solve for x
    x = 2,268,633.02/2,300.70
  6. Step 6: Final answer
    x = 986.06

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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.