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Finding the Fourth Proportional to 496.30, 744.45 and 415.90

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Solution

The fourth proportional to 496.30, 744.45 and 415.90 is: 623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.30 : 744.45 = 415.90 : x
  2. Step 2: Convert to fraction form
    496.30/744.45 = 415.90/x
  3. Step 3: Cross multiply
    496.30x = 744.45 × 415.90
  4. Step 4: Simplify right side
    496.30x = 309,616.76
  5. Step 5: Solve for x
    x = 309,616.76/496.30
  6. Step 6: Final answer
    x = 623.85

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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.