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Finding the Fourth Proportional to 578.45, 798.04 and 357.28

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Solution

The fourth proportional to 578.45, 798.04 and 357.28 is: 492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.45 : 798.04 = 357.28 : x
  2. Step 2: Convert to fraction form
    578.45/798.04 = 357.28/x
  3. Step 3: Cross multiply
    578.45x = 798.04 × 357.28
  4. Step 4: Simplify right side
    578.45x = 285,123.73
  5. Step 5: Solve for x
    x = 285,123.73/578.45
  6. Step 6: Final answer
    x = 492.91

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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.