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Finding the Fourth Proportional to 578.20, 798.09 and 342.13

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Solution

The fourth proportional to 578.20, 798.09 and 342.13 is: 472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.20 : 798.09 = 342.13 : x
  2. Step 2: Convert to fraction form
    578.20/798.09 = 342.13/x
  3. Step 3: Cross multiply
    578.20x = 798.09 × 342.13
  4. Step 4: Simplify right side
    578.20x = 273,050.53
  5. Step 5: Solve for x
    x = 273,050.53/578.20
  6. Step 6: Final answer
    x = 472.24

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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.