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Finding the Fourth Proportional to 2,300.76, 3,451.17 and 657.36

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Solution

The fourth proportional to 2,300.76, 3,451.17 and 657.36 is: 986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.76 : 3,451.17 = 657.36 : x
  2. Step 2: Convert to fraction form
    2,300.76/3,451.17 = 657.36/x
  3. Step 3: Cross multiply
    2,300.76x = 3,451.17 × 657.36
  4. Step 4: Simplify right side
    2,300.76x = 2,268,644.88
  5. Step 5: Solve for x
    x = 2,268,644.88/2,300.76
  6. Step 6: Final answer
    x = 986.04

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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.