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Finding the Fourth Proportional to 1,857.54, 2,786.44 and 624.94

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Solution

The fourth proportional to 1,857.54, 2,786.44 and 624.94 is: 937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.54 : 2,786.44 = 624.94 : x
  2. Step 2: Convert to fraction form
    1,857.54/2,786.44 = 624.94/x
  3. Step 3: Cross multiply
    1,857.54x = 2,786.44 × 624.94
  4. Step 4: Simplify right side
    1,857.54x = 1,741,357.81
  5. Step 5: Solve for x
    x = 1,741,357.81/1,857.54
  6. Step 6: Final answer
    x = 937.46

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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.