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Finding the Fourth Proportional to 496, 684.48 and 289.04

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Solution

The fourth proportional to 496, 684.48 and 289.04 is: 398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    496 : 684.48 = 289.04 : x
  2. Step 2: Convert to fraction form
    496/684.48 = 289.04/x
  3. Step 3: Cross multiply
    496x = 684.48 × 289.04
  4. Step 4: Simplify right side
    496x = 197,842.10
  5. Step 5: Solve for x
    x = 197,842.10/496
  6. Step 6: Final answer
    x = 398.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.