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Finding the Fourth Proportional to 557.21, 835.13 and 419.82

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Solution

The fourth proportional to 557.21, 835.13 and 419.82 is: 629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.21 : 835.13 = 419.82 : x
  2. Step 2: Convert to fraction form
    557.21/835.13 = 419.82/x
  3. Step 3: Cross multiply
    557.21x = 835.13 × 419.82
  4. Step 4: Simplify right side
    557.21x = 350,604.28
  5. Step 5: Solve for x
    x = 350,604.28/557.21
  6. Step 6: Final answer
    x = 629.21

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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.