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Finding the Fourth Proportional to 2,300.80, 3,450.70 and 657.32

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Solution

The fourth proportional to 2,300.80, 3,450.70 and 657.32 is: 985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.80 : 3,450.70 = 657.32 : x
  2. Step 2: Convert to fraction form
    2,300.80/3,450.70 = 657.32/x
  3. Step 3: Cross multiply
    2,300.80x = 3,450.70 × 657.32
  4. Step 4: Simplify right side
    2,300.80x = 2,268,214.12
  5. Step 5: Solve for x
    x = 2,268,214.12/2,300.80
  6. Step 6: Final answer
    x = 985.84

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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.