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Finding the Fourth Proportional to 578.41, 797.56 and 412.56

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Solution

The fourth proportional to 578.41, 797.56 and 412.56 is: 568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.41 : 797.56 = 412.56 : x
  2. Step 2: Convert to fraction form
    578.41/797.56 = 412.56/x
  3. Step 3: Cross multiply
    578.41x = 797.56 × 412.56
  4. Step 4: Simplify right side
    578.41x = 329,040.32
  5. Step 5: Solve for x
    x = 329,040.32/578.41
  6. Step 6: Final answer
    x = 568.87

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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.