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Finding the Fourth Proportional to 578.01, 865.81 and 392.33

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Solution

The fourth proportional to 578.01, 865.81 and 392.33 is: 587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.01 : 865.81 = 392.33 : x
  2. Step 2: Convert to fraction form
    578.01/865.81 = 392.33/x
  3. Step 3: Cross multiply
    578.01x = 865.81 × 392.33
  4. Step 4: Simplify right side
    578.01x = 339,683.24
  5. Step 5: Solve for x
    x = 339,683.24/578.01
  6. Step 6: Final answer
    x = 587.68

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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.