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Finding the Fourth Proportional to 537.76, 736.94 and 485.92

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Solution

The fourth proportional to 537.76, 736.94 and 485.92 is: 665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.76 : 736.94 = 485.92 : x
  2. Step 2: Convert to fraction form
    537.76/736.94 = 485.92/x
  3. Step 3: Cross multiply
    537.76x = 736.94 × 485.92
  4. Step 4: Simplify right side
    537.76x = 358,093.88
  5. Step 5: Solve for x
    x = 358,093.88/537.76
  6. Step 6: Final answer
    x = 665.90

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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.