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Finding the Fourth Proportional to 578.78, 797.19 and 534.97

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Solution

The fourth proportional to 578.78, 797.19 and 534.97 is: 736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.78 : 797.19 = 534.97 : x
  2. Step 2: Convert to fraction form
    578.78/797.19 = 534.97/x
  3. Step 3: Cross multiply
    578.78x = 797.19 × 534.97
  4. Step 4: Simplify right side
    578.78x = 426,471.72
  5. Step 5: Solve for x
    x = 426,471.72/578.78
  6. Step 6: Final answer
    x = 736.85

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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.