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Finding the Fourth Proportional to 492, 736.11 and 488.49

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Solution

The fourth proportional to 492, 736.11 and 488.49 is: 730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492 : 736.11 = 488.49 : x
  2. Step 2: Convert to fraction form
    492/736.11 = 488.49/x
  3. Step 3: Cross multiply
    492x = 736.11 × 488.49
  4. Step 4: Simplify right side
    492x = 359,582.37
  5. Step 5: Solve for x
    x = 359,582.37/492
  6. Step 6: Final answer
    x = 730.86

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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.