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Finding the Fourth Proportional to 2,043.33, 3,064.79 and 657.67

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Solution

The fourth proportional to 2,043.33, 3,064.79 and 657.67 is: 986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.33 : 3,064.79 = 657.67 : x
  2. Step 2: Convert to fraction form
    2,043.33/3,064.79 = 657.67/x
  3. Step 3: Cross multiply
    2,043.33x = 3,064.79 × 657.67
  4. Step 4: Simplify right side
    2,043.33x = 2,015,616.47
  5. Step 5: Solve for x
    x = 2,015,616.47/2,043.33
  6. Step 6: Final answer
    x = 986.44

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1.5x scale

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.