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Finding the Fourth Proportional to 494.88, 738.24 and 483.84

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Solution

The fourth proportional to 494.88, 738.24 and 483.84 is: 721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.88 : 738.24 = 483.84 : x
  2. Step 2: Convert to fraction form
    494.88/738.24 = 483.84/x
  3. Step 3: Cross multiply
    494.88x = 738.24 × 483.84
  4. Step 4: Simplify right side
    494.88x = 357,190.04
  5. Step 5: Solve for x
    x = 357,190.04/494.88
  6. Step 6: Final answer
    x = 721.77

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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.