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Finding the Fourth Proportional to 498.45, 743.46 and 464.43

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Solution

The fourth proportional to 498.45, 743.46 and 464.43 is: 692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.45 : 743.46 = 464.43 : x
  2. Step 2: Convert to fraction form
    498.45/743.46 = 464.43/x
  3. Step 3: Cross multiply
    498.45x = 743.46 × 464.43
  4. Step 4: Simplify right side
    498.45x = 345,285.13
  5. Step 5: Solve for x
    x = 345,285.13/498.45
  6. Step 6: Final answer
    x = 692.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.