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Finding the Fourth Proportional to 498.40, 746.46 and 450.28

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Solution

The fourth proportional to 498.40, 746.46 and 450.28 is: 674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.40 : 746.46 = 450.28 : x
  2. Step 2: Convert to fraction form
    498.40/746.46 = 450.28/x
  3. Step 3: Cross multiply
    498.40x = 746.46 × 450.28
  4. Step 4: Simplify right side
    498.40x = 336,116.01
  5. Step 5: Solve for x
    x = 336,116.01/498.40
  6. Step 6: Final answer
    x = 674.39

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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.