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Finding the Fourth Proportional to 2,300.41, 3,450.66 and 656.97

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Solution

The fourth proportional to 2,300.41, 3,450.66 and 656.97 is: 985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.41 : 3,450.66 = 656.97 : x
  2. Step 2: Convert to fraction form
    2,300.41/3,450.66 = 656.97/x
  3. Step 3: Cross multiply
    2,300.41x = 3,450.66 × 656.97
  4. Step 4: Simplify right side
    2,300.41x = 2,266,980.10
  5. Step 5: Solve for x
    x = 2,266,980.10/2,300.41
  6. Step 6: Final answer
    x = 985.47

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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.