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Finding the Fourth Proportional to 1,855.45, 2,782.72 and 622.83

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Solution

The fourth proportional to 1,855.45, 2,782.72 and 622.83 is: 934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.45 : 2,782.72 = 622.83 : x
  2. Step 2: Convert to fraction form
    1,855.45/2,782.72 = 622.83/x
  3. Step 3: Cross multiply
    1,855.45x = 2,782.72 × 622.83
  4. Step 4: Simplify right side
    1,855.45x = 1,733,159.94
  5. Step 5: Solve for x
    x = 1,733,159.94/1,855.45
  6. Step 6: Final answer
    x = 934.09

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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.