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Finding the Fourth Proportional to 523.26, 722.09 and 283.98

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Solution

The fourth proportional to 523.26, 722.09 and 283.98 is: 391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.26 : 722.09 = 283.98 : x
  2. Step 2: Convert to fraction form
    523.26/722.09 = 283.98/x
  3. Step 3: Cross multiply
    523.26x = 722.09 × 283.98
  4. Step 4: Simplify right side
    523.26x = 205,059.83
  5. Step 5: Solve for x
    x = 205,059.83/523.26
  6. Step 6: Final answer
    x = 391.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.