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Finding the Fourth Proportional to 569.66, 786.50 and 412.56

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Solution

The fourth proportional to 569.66, 786.50 and 412.56 is: 569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.66 : 786.50 = 412.56 : x
  2. Step 2: Convert to fraction form
    569.66/786.50 = 412.56/x
  3. Step 3: Cross multiply
    569.66x = 786.50 × 412.56
  4. Step 4: Simplify right side
    569.66x = 324,478.44
  5. Step 5: Solve for x
    x = 324,478.44/569.66
  6. Step 6: Final answer
    x = 569.60

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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.