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Finding the Fourth Proportional to 576.99, 796.91 and 420.32

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Solution

The fourth proportional to 576.99, 796.91 and 420.32 is: 580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.99 : 796.91 = 420.32 : x
  2. Step 2: Convert to fraction form
    576.99/796.91 = 420.32/x
  3. Step 3: Cross multiply
    576.99x = 796.91 × 420.32
  4. Step 4: Simplify right side
    576.99x = 334,958.88
  5. Step 5: Solve for x
    x = 334,958.88/576.99
  6. Step 6: Final answer
    x = 580.53

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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.