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Finding the Fourth Proportional to 578.04, 796.89 and 472.64

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Solution

The fourth proportional to 578.04, 796.89 and 472.64 is: 651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.04 : 796.89 = 472.64 : x
  2. Step 2: Convert to fraction form
    578.04/796.89 = 472.64/x
  3. Step 3: Cross multiply
    578.04x = 796.89 × 472.64
  4. Step 4: Simplify right side
    578.04x = 376,637.22
  5. Step 5: Solve for x
    x = 376,637.22/578.04
  6. Step 6: Final answer
    x = 651.58

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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.