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Finding the Fourth Proportional to 569.28, 785.09 and 412.94

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Solution

The fourth proportional to 569.28, 785.09 and 412.94 is: 569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.28 : 785.09 = 412.94 : x
  2. Step 2: Convert to fraction form
    569.28/785.09 = 412.94/x
  3. Step 3: Cross multiply
    569.28x = 785.09 × 412.94
  4. Step 4: Simplify right side
    569.28x = 324,195.06
  5. Step 5: Solve for x
    x = 324,195.06/569.28
  6. Step 6: Final answer
    x = 569.48

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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.