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Finding the Fourth Proportional to 556.65, 834.36 and 419.27

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Solution

The fourth proportional to 556.65, 834.36 and 419.27 is: 628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.65 : 834.36 = 419.27 : x
  2. Step 2: Convert to fraction form
    556.65/834.36 = 419.27/x
  3. Step 3: Cross multiply
    556.65x = 834.36 × 419.27
  4. Step 4: Simplify right side
    556.65x = 349,817.95
  5. Step 5: Solve for x
    x = 349,817.95/556.65
  6. Step 6: Final answer
    x = 628.43

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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.