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Finding the Fourth Proportional to 535.37, 738.54 and 461.55

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Solution

The fourth proportional to 535.37, 738.54 and 461.55 is: 636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.37 : 738.54 = 461.55 : x
  2. Step 2: Convert to fraction form
    535.37/738.54 = 461.55/x
  3. Step 3: Cross multiply
    535.37x = 738.54 × 461.55
  4. Step 4: Simplify right side
    535.37x = 340,873.14
  5. Step 5: Solve for x
    x = 340,873.14/535.37
  6. Step 6: Final answer
    x = 636.71

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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.