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Finding the Fourth Proportional to 523.85, 722.90 and 290.97

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Solution

The fourth proportional to 523.85, 722.90 and 290.97 is: 401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.85 : 722.90 = 290.97 : x
  2. Step 2: Convert to fraction form
    523.85/722.90 = 290.97/x
  3. Step 3: Cross multiply
    523.85x = 722.90 × 290.97
  4. Step 4: Simplify right side
    523.85x = 210,342.94
  5. Step 5: Solve for x
    x = 210,342.94/523.85
  6. Step 6: Final answer
    x = 401.54

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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.