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Finding the Fourth Proportional to 638.50, 879.52 and 533.54

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Solution

The fourth proportional to 638.50, 879.52 and 533.54 is: 734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.50 : 879.52 = 533.54 : x
  2. Step 2: Convert to fraction form
    638.50/879.52 = 533.54/x
  3. Step 3: Cross multiply
    638.50x = 879.52 × 533.54
  4. Step 4: Simplify right side
    638.50x = 469,259.10
  5. Step 5: Solve for x
    x = 469,259.10/638.50
  6. Step 6: Final answer
    x = 734.94

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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.