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Finding the Fourth Proportional to 578.22, 797.83 and 342.15

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Solution

The fourth proportional to 578.22, 797.83 and 342.15 is: 472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.22 : 797.83 = 342.15 : x
  2. Step 2: Convert to fraction form
    578.22/797.83 = 342.15/x
  3. Step 3: Cross multiply
    578.22x = 797.83 × 342.15
  4. Step 4: Simplify right side
    578.22x = 272,977.53
  5. Step 5: Solve for x
    x = 272,977.53/578.22
  6. Step 6: Final answer
    x = 472.10

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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.