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Finding the Fourth Proportional to 578.59, 797.63 and 412.52

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Solution

The fourth proportional to 578.59, 797.63 and 412.52 is: 568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.59 : 797.63 = 412.52 : x
  2. Step 2: Convert to fraction form
    578.59/797.63 = 412.52/x
  3. Step 3: Cross multiply
    578.59x = 797.63 × 412.52
  4. Step 4: Simplify right side
    578.59x = 329,033.27
  5. Step 5: Solve for x
    x = 329,033.27/578.59
  6. Step 6: Final answer
    x = 568.68

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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.