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Finding the Fourth Proportional to 1,855.48, 2,783.36 and 622.90

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Solution

The fourth proportional to 1,855.48, 2,783.36 and 622.90 is: 934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.48 : 2,783.36 = 622.90 : x
  2. Step 2: Convert to fraction form
    1,855.48/2,783.36 = 622.90/x
  3. Step 3: Cross multiply
    1,855.48x = 2,783.36 × 622.90
  4. Step 4: Simplify right side
    1,855.48x = 1,733,741.03
  5. Step 5: Solve for x
    x = 1,733,741.03/1,855.48
  6. Step 6: Final answer
    x = 934.39

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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.