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Finding the Fourth Proportional to 578.25, 865.44 and 440.55

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Solution

The fourth proportional to 578.25, 865.44 and 440.55 is: 659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.25 : 865.44 = 440.55 : x
  2. Step 2: Convert to fraction form
    578.25/865.44 = 440.55/x
  3. Step 3: Cross multiply
    578.25x = 865.44 × 440.55
  4. Step 4: Simplify right side
    578.25x = 381,269.59
  5. Step 5: Solve for x
    x = 381,269.59/578.25
  6. Step 6: Final answer
    x = 659.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.