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Finding the Fourth Proportional to 556.26, 834.42 and 282.48

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Solution

The fourth proportional to 556.26, 834.42 and 282.48 is: 423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.26 : 834.42 = 282.48 : x
  2. Step 2: Convert to fraction form
    556.26/834.42 = 282.48/x
  3. Step 3: Cross multiply
    556.26x = 834.42 × 282.48
  4. Step 4: Simplify right side
    556.26x = 235,706.96
  5. Step 5: Solve for x
    x = 235,706.96/556.26
  6. Step 6: Final answer
    x = 423.74

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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.