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Finding the Fourth Proportional to 569.60, 786.50 and 348.66

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Solution

The fourth proportional to 569.60, 786.50 and 348.66 is: 481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.60 : 786.50 = 348.66 : x
  2. Step 2: Convert to fraction form
    569.60/786.50 = 348.66/x
  3. Step 3: Cross multiply
    569.60x = 786.50 × 348.66
  4. Step 4: Simplify right side
    569.60x = 274,221.09
  5. Step 5: Solve for x
    x = 274,221.09/569.60
  6. Step 6: Final answer
    x = 481.43

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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.