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Finding the Fourth Proportional to 2,044.49, 3,065.73 and 657.50

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Solution

The fourth proportional to 2,044.49, 3,065.73 and 657.50 is: 985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.49 : 3,065.73 = 657.50 : x
  2. Step 2: Convert to fraction form
    2,044.49/3,065.73 = 657.50/x
  3. Step 3: Cross multiply
    2,044.49x = 3,065.73 × 657.50
  4. Step 4: Simplify right side
    2,044.49x = 2,015,717.48
  5. Step 5: Solve for x
    x = 2,015,717.48/2,044.49
  6. Step 6: Final answer
    x = 985.93

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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.