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Finding the Fourth Proportional to 569.10, 785.42 and 412.23

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Solution

The fourth proportional to 569.10, 785.42 and 412.23 is: 568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.10 : 785.42 = 412.23 : x
  2. Step 2: Convert to fraction form
    569.10/785.42 = 412.23/x
  3. Step 3: Cross multiply
    569.10x = 785.42 × 412.23
  4. Step 4: Simplify right side
    569.10x = 323,773.69
  5. Step 5: Solve for x
    x = 323,773.69/569.10
  6. Step 6: Final answer
    x = 568.92

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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.