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Finding the Fourth Proportional to 602.72, 827.26 and 535.76

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Solution

The fourth proportional to 602.72, 827.26 and 535.76 is: 735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.72 : 827.26 = 535.76 : x
  2. Step 2: Convert to fraction form
    602.72/827.26 = 535.76/x
  3. Step 3: Cross multiply
    602.72x = 827.26 × 535.76
  4. Step 4: Simplify right side
    602.72x = 443,212.82
  5. Step 5: Solve for x
    x = 443,212.82/602.72
  6. Step 6: Final answer
    x = 735.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.