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Finding the Fourth Proportional to 608.61, 839.78 and 343.02

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Solution

The fourth proportional to 608.61, 839.78 and 343.02 is: 473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.61 : 839.78 = 343.02 : x
  2. Step 2: Convert to fraction form
    608.61/839.78 = 343.02/x
  3. Step 3: Cross multiply
    608.61x = 839.78 × 343.02
  4. Step 4: Simplify right side
    608.61x = 288,061.34
  5. Step 5: Solve for x
    x = 288,061.34/608.61
  6. Step 6: Final answer
    x = 473.31

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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.