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Finding the Fourth Proportional to 506.60, 699.63 and 349.64

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Solution

The fourth proportional to 506.60, 699.63 and 349.64 is: 482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.60 : 699.63 = 349.64 : x
  2. Step 2: Convert to fraction form
    506.60/699.63 = 349.64/x
  3. Step 3: Cross multiply
    506.60x = 699.63 × 349.64
  4. Step 4: Simplify right side
    506.60x = 244,615.14
  5. Step 5: Solve for x
    x = 244,615.14/506.60
  6. Step 6: Final answer
    x = 482.86

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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.