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Finding the Fourth Proportional to 578.16, 798.24 and 357.44

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Solution

The fourth proportional to 578.16, 798.24 and 357.44 is: 493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.16 : 798.24 = 357.44 : x
  2. Step 2: Convert to fraction form
    578.16/798.24 = 357.44/x
  3. Step 3: Cross multiply
    578.16x = 798.24 × 357.44
  4. Step 4: Simplify right side
    578.16x = 285,318.91
  5. Step 5: Solve for x
    x = 285,318.91/578.16
  6. Step 6: Final answer
    x = 493.49

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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.