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Finding the Fourth Proportional to 506.88, 697.83 and 441.38

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Solution

The fourth proportional to 506.88, 697.83 and 441.38 is: 607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 697.83 = 441.38 : x
  2. Step 2: Convert to fraction form
    506.88/697.83 = 441.38/x
  3. Step 3: Cross multiply
    506.88x = 697.83 × 441.38
  4. Step 4: Simplify right side
    506.88x = 308,004.72
  5. Step 5: Solve for x
    x = 308,004.72/506.88
  6. Step 6: Final answer
    x = 607.65

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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.