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Finding the Fourth Proportional to 569.69, 786.20 and 348.60

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Solution

The fourth proportional to 569.69, 786.20 and 348.60 is: 481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.69 : 786.20 = 348.60 : x
  2. Step 2: Convert to fraction form
    569.69/786.20 = 348.60/x
  3. Step 3: Cross multiply
    569.69x = 786.20 × 348.60
  4. Step 4: Simplify right side
    569.69x = 274,067.58
  5. Step 5: Solve for x
    x = 274,067.58/569.69
  6. Step 6: Final answer
    x = 481.09

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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.