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Finding the Fourth Proportional to 636.54, 876.33 and 496.50

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Solution

The fourth proportional to 636.54, 876.33 and 496.50 is: 683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.54 : 876.33 = 496.50 : x
  2. Step 2: Convert to fraction form
    636.54/876.33 = 496.50/x
  3. Step 3: Cross multiply
    636.54x = 876.33 × 496.50
  4. Step 4: Simplify right side
    636.54x = 435,097.85
  5. Step 5: Solve for x
    x = 435,097.85/636.54
  6. Step 6: Final answer
    x = 683.54

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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.