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Finding the Fourth Proportional to 569.89, 786.39 and 333.83

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Solution

The fourth proportional to 569.89, 786.39 and 333.83 is: 460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.89 : 786.39 = 333.83 : x
  2. Step 2: Convert to fraction form
    569.89/786.39 = 333.83/x
  3. Step 3: Cross multiply
    569.89x = 786.39 × 333.83
  4. Step 4: Simplify right side
    569.89x = 262,516.64
  5. Step 5: Solve for x
    x = 262,516.64/569.89
  6. Step 6: Final answer
    x = 460.64

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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.