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Finding the Fourth Proportional to 569.75, 786.33 and 422.42

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Solution

The fourth proportional to 569.75, 786.33 and 422.42 is: 582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.75 : 786.33 = 422.42 : x
  2. Step 2: Convert to fraction form
    569.75/786.33 = 422.42/x
  3. Step 3: Cross multiply
    569.75x = 786.33 × 422.42
  4. Step 4: Simplify right side
    569.75x = 332,157.59
  5. Step 5: Solve for x
    x = 332,157.59/569.75
  6. Step 6: Final answer
    x = 582.99

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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.