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Finding the Fourth Proportional to 495.28, 746.71 and 488.80

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Solution

The fourth proportional to 495.28, 746.71 and 488.80 is: 736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.28 : 746.71 = 488.80 : x
  2. Step 2: Convert to fraction form
    495.28/746.71 = 488.80/x
  3. Step 3: Cross multiply
    495.28x = 746.71 × 488.80
  4. Step 4: Simplify right side
    495.28x = 364,991.85
  5. Step 5: Solve for x
    x = 364,991.85/495.28
  6. Step 6: Final answer
    x = 736.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.