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Finding the Fourth Proportional to 578.94, 862.38 and 548.16

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Solution

The fourth proportional to 578.94, 862.38 and 548.16 is: 816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.94 : 862.38 = 548.16 : x
  2. Step 2: Convert to fraction form
    578.94/862.38 = 548.16/x
  3. Step 3: Cross multiply
    578.94x = 862.38 × 548.16
  4. Step 4: Simplify right side
    578.94x = 472,722.22
  5. Step 5: Solve for x
    x = 472,722.22/578.94
  6. Step 6: Final answer
    x = 816.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.