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Finding the Fourth Proportional to 608.45, 839.52 and 342.84

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Solution

The fourth proportional to 608.45, 839.52 and 342.84 is: 473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.45 : 839.52 = 342.84 : x
  2. Step 2: Convert to fraction form
    608.45/839.52 = 342.84/x
  3. Step 3: Cross multiply
    608.45x = 839.52 × 342.84
  4. Step 4: Simplify right side
    608.45x = 287,823.22
  5. Step 5: Solve for x
    x = 287,823.22/608.45
  6. Step 6: Final answer
    x = 473.04

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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.