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Finding the Fourth Proportional to 554.20, 829.70 and 496.60

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Solution

The fourth proportional to 554.20, 829.70 and 496.60 is: 743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.20 : 829.70 = 496.60 : x
  2. Step 2: Convert to fraction form
    554.20/829.70 = 496.60/x
  3. Step 3: Cross multiply
    554.20x = 829.70 × 496.60
  4. Step 4: Simplify right side
    554.20x = 412,029.02
  5. Step 5: Solve for x
    x = 412,029.02/554.20
  6. Step 6: Final answer
    x = 743.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.