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Finding the Fourth Proportional to 1,257.37, 1,887.78 and 641.49

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Solution

The fourth proportional to 1,257.37, 1,887.78 and 641.49 is: 963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.37 : 1,887.78 = 641.49 : x
  2. Step 2: Convert to fraction form
    1,257.37/1,887.78 = 641.49/x
  3. Step 3: Cross multiply
    1,257.37x = 1,887.78 × 641.49
  4. Step 4: Simplify right side
    1,257.37x = 1,210,991.99
  5. Step 5: Solve for x
    x = 1,210,991.99/1,257.37
  6. Step 6: Final answer
    x = 963.12

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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.