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Finding the Fourth Proportional to 499.84, 748.21 and 457.31

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Solution

The fourth proportional to 499.84, 748.21 and 457.31 is: 684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.84 : 748.21 = 457.31 : x
  2. Step 2: Convert to fraction form
    499.84/748.21 = 457.31/x
  3. Step 3: Cross multiply
    499.84x = 748.21 × 457.31
  4. Step 4: Simplify right side
    499.84x = 342,163.92
  5. Step 5: Solve for x
    x = 342,163.92/499.84
  6. Step 6: Final answer
    x = 684.55

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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.