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Finding the Fourth Proportional to 578.41, 798.50 and 392.88

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Solution

The fourth proportional to 578.41, 798.50 and 392.88 is: 542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.41 : 798.50 = 392.88 : x
  2. Step 2: Convert to fraction form
    578.41/798.50 = 392.88/x
  3. Step 3: Cross multiply
    578.41x = 798.50 × 392.88
  4. Step 4: Simplify right side
    578.41x = 313,714.68
  5. Step 5: Solve for x
    x = 313,714.68/578.41
  6. Step 6: Final answer
    x = 542.37

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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.