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Finding the Fourth Proportional to 578.25, 797.71 and 342.04

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Solution

The fourth proportional to 578.25, 797.71 and 342.04 is: 471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.25 : 797.71 = 342.04 : x
  2. Step 2: Convert to fraction form
    578.25/797.71 = 342.04/x
  3. Step 3: Cross multiply
    578.25x = 797.71 × 342.04
  4. Step 4: Simplify right side
    578.25x = 272,848.73
  5. Step 5: Solve for x
    x = 272,848.73/578.25
  6. Step 6: Final answer
    x = 471.85

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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.