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Finding the Fourth Proportional to 2,300.84, 3,450.84 and 657.45

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Solution

The fourth proportional to 2,300.84, 3,450.84 and 657.45 is: 986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.84 : 3,450.84 = 657.45 : x
  2. Step 2: Convert to fraction form
    2,300.84/3,450.84 = 657.45/x
  3. Step 3: Cross multiply
    2,300.84x = 3,450.84 × 657.45
  4. Step 4: Simplify right side
    2,300.84x = 2,268,752.29
  5. Step 5: Solve for x
    x = 2,268,752.29/2,300.84
  6. Step 6: Final answer
    x = 986.05

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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.