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Finding the Fourth Proportional to 1,932.45, 2,898.67 and 779.01

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Solution

The fourth proportional to 1,932.45, 2,898.67 and 779.01 is: 1,168.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.45 : 2,898.67 = 779.01 : x
  2. Step 2: Convert to fraction form
    1,932.45/2,898.67 = 779.01/x
  3. Step 3: Cross multiply
    1,932.45x = 2,898.67 × 779.01
  4. Step 4: Simplify right side
    1,932.45x = 2,258,092.92
  5. Step 5: Solve for x
    x = 2,258,092.92/1,932.45
  6. Step 6: Final answer
    x = 1,168.51

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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.