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Finding the Fourth Proportional to 576.72, 796.23 and 436.59

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Solution

The fourth proportional to 576.72, 796.23 and 436.59 is: 602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.72 : 796.23 = 436.59 : x
  2. Step 2: Convert to fraction form
    576.72/796.23 = 436.59/x
  3. Step 3: Cross multiply
    576.72x = 796.23 × 436.59
  4. Step 4: Simplify right side
    576.72x = 347,626.06
  5. Step 5: Solve for x
    x = 347,626.06/576.72
  6. Step 6: Final answer
    x = 602.76

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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.