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Finding the Fourth Proportional to 726.54, 1,090.26 and 419

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Solution

The fourth proportional to 726.54, 1,090.26 and 419 is: 628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.54 : 1,090.26 = 419 : x
  2. Step 2: Convert to fraction form
    726.54/1,090.26 = 419/x
  3. Step 3: Cross multiply
    726.54x = 1,090.26 × 419
  4. Step 4: Simplify right side
    726.54x = 456,818.94
  5. Step 5: Solve for x
    x = 456,818.94/726.54
  6. Step 6: Final answer
    x = 628.76

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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.