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Finding the Fourth Proportional to 608.68, 839.60 and 411.84

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Solution

The fourth proportional to 608.68, 839.60 and 411.84 is: 568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.68 : 839.60 = 411.84 : x
  2. Step 2: Convert to fraction form
    608.68/839.60 = 411.84/x
  3. Step 3: Cross multiply
    608.68x = 839.60 × 411.84
  4. Step 4: Simplify right side
    608.68x = 345,780.86
  5. Step 5: Solve for x
    x = 345,780.86/608.68
  6. Step 6: Final answer
    x = 568.08

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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.