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Finding the Fourth Proportional to 490.48, 734.30 and 457.68

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Solution

The fourth proportional to 490.48, 734.30 and 457.68 is: 685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.48 : 734.30 = 457.68 : x
  2. Step 2: Convert to fraction form
    490.48/734.30 = 457.68/x
  3. Step 3: Cross multiply
    490.48x = 734.30 × 457.68
  4. Step 4: Simplify right side
    490.48x = 336,074.42
  5. Step 5: Solve for x
    x = 336,074.42/490.48
  6. Step 6: Final answer
    x = 685.19

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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.