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Finding the Fourth Proportional to 578, 797.72 and 422.96

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Solution

The fourth proportional to 578, 797.72 and 422.96 is: 583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    578 : 797.72 = 422.96 : x
  2. Step 2: Convert to fraction form
    578/797.72 = 422.96/x
  3. Step 3: Cross multiply
    578x = 797.72 × 422.96
  4. Step 4: Simplify right side
    578x = 337,403.65
  5. Step 5: Solve for x
    x = 337,403.65/578
  6. Step 6: Final answer
    x = 583.74

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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.