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Finding the Fourth Proportional to 715.26, 1,072.89 and 282.54

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Solution

The fourth proportional to 715.26, 1,072.89 and 282.54 is: 423.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.26 : 1,072.89 = 282.54 : x
  2. Step 2: Convert to fraction form
    715.26/1,072.89 = 282.54/x
  3. Step 3: Cross multiply
    715.26x = 1,072.89 × 282.54
  4. Step 4: Simplify right side
    715.26x = 303,134.34
  5. Step 5: Solve for x
    x = 303,134.34/715.26
  6. Step 6: Final answer
    x = 423.81

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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.