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Finding the Fourth Proportional to 1,939.37, 2,909.05 and 478.51

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Solution

The fourth proportional to 1,939.37, 2,909.05 and 478.51 is: 717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.37 : 2,909.05 = 478.51 : x
  2. Step 2: Convert to fraction form
    1,939.37/2,909.05 = 478.51/x
  3. Step 3: Cross multiply
    1,939.37x = 2,909.05 × 478.51
  4. Step 4: Simplify right side
    1,939.37x = 1,392,009.52
  5. Step 5: Solve for x
    x = 1,392,009.52/1,939.37
  6. Step 6: Final answer
    x = 717.76

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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.