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Finding the Fourth Proportional to 506.36, 699 and 390.44

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Solution

The fourth proportional to 506.36, 699 and 390.44 is: 538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.36 : 699 = 390.44 : x
  2. Step 2: Convert to fraction form
    506.36/699 = 390.44/x
  3. Step 3: Cross multiply
    506.36x = 699 × 390.44
  4. Step 4: Simplify right side
    506.36x = 272,917.56
  5. Step 5: Solve for x
    x = 272,917.56/506.36
  6. Step 6: Final answer
    x = 538.98

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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.