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Finding the Fourth Proportional to 569.99, 786.32 and 412.37

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Solution

The fourth proportional to 569.99, 786.32 and 412.37 is: 568.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.99 : 786.32 = 412.37 : x
  2. Step 2: Convert to fraction form
    569.99/786.32 = 412.37/x
  3. Step 3: Cross multiply
    569.99x = 786.32 × 412.37
  4. Step 4: Simplify right side
    569.99x = 324,254.78
  5. Step 5: Solve for x
    x = 324,254.78/569.99
  6. Step 6: Final answer
    x = 568.88

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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.