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Finding the Fourth Proportional to 608.63, 839.87 and 343.06

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Solution

The fourth proportional to 608.63, 839.87 and 343.06 is: 473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.63 : 839.87 = 343.06 : x
  2. Step 2: Convert to fraction form
    608.63/839.87 = 343.06/x
  3. Step 3: Cross multiply
    608.63x = 839.87 × 343.06
  4. Step 4: Simplify right side
    608.63x = 288,125.64
  5. Step 5: Solve for x
    x = 288,125.64/608.63
  6. Step 6: Final answer
    x = 473.40

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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.