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Finding the Fourth Proportional to 499.44, 744.84 and 457.44

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Solution

The fourth proportional to 499.44, 744.84 and 457.44 is: 682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.44 : 744.84 = 457.44 : x
  2. Step 2: Convert to fraction form
    499.44/744.84 = 457.44/x
  3. Step 3: Cross multiply
    499.44x = 744.84 × 457.44
  4. Step 4: Simplify right side
    499.44x = 340,719.61
  5. Step 5: Solve for x
    x = 340,719.61/499.44
  6. Step 6: Final answer
    x = 682.20

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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.