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Finding the Fourth Proportional to 490.58, 731.73 and 456.56

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Solution

The fourth proportional to 490.58, 731.73 and 456.56 is: 680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.58 : 731.73 = 456.56 : x
  2. Step 2: Convert to fraction form
    490.58/731.73 = 456.56/x
  3. Step 3: Cross multiply
    490.58x = 731.73 × 456.56
  4. Step 4: Simplify right side
    490.58x = 334,074.99
  5. Step 5: Solve for x
    x = 334,074.99/490.58
  6. Step 6: Final answer
    x = 680.99

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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.