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Finding the Fourth Proportional to 607.92, 839.04 and 345.96

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Solution

The fourth proportional to 607.92, 839.04 and 345.96 is: 477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.92 : 839.04 = 345.96 : x
  2. Step 2: Convert to fraction form
    607.92/839.04 = 345.96/x
  3. Step 3: Cross multiply
    607.92x = 839.04 × 345.96
  4. Step 4: Simplify right side
    607.92x = 290,274.28
  5. Step 5: Solve for x
    x = 290,274.28/607.92
  6. Step 6: Final answer
    x = 477.49

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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.