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Finding the Fourth Proportional to 569.64, 786.09 and 336.75

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Solution

The fourth proportional to 569.64, 786.09 and 336.75 is: 464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.64 : 786.09 = 336.75 : x
  2. Step 2: Convert to fraction form
    569.64/786.09 = 336.75/x
  3. Step 3: Cross multiply
    569.64x = 786.09 × 336.75
  4. Step 4: Simplify right side
    569.64x = 264,715.81
  5. Step 5: Solve for x
    x = 264,715.81/569.64
  6. Step 6: Final answer
    x = 464.71

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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.