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Finding the Fourth Proportional to 578.29, 797.23 and 391.48

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Solution

The fourth proportional to 578.29, 797.23 and 391.48 is: 539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.29 : 797.23 = 391.48 : x
  2. Step 2: Convert to fraction form
    578.29/797.23 = 391.48/x
  3. Step 3: Cross multiply
    578.29x = 797.23 × 391.48
  4. Step 4: Simplify right side
    578.29x = 312,096.63
  5. Step 5: Solve for x
    x = 312,096.63/578.29
  6. Step 6: Final answer
    x = 539.69

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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.