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Finding the Fourth Proportional to 725.30, 999.97 and 492.02

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Solution

The fourth proportional to 725.30, 999.97 and 492.02 is: 678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.30 : 999.97 = 492.02 : x
  2. Step 2: Convert to fraction form
    725.30/999.97 = 492.02/x
  3. Step 3: Cross multiply
    725.30x = 999.97 × 492.02
  4. Step 4: Simplify right side
    725.30x = 492,005.24
  5. Step 5: Solve for x
    x = 492,005.24/725.30
  6. Step 6: Final answer
    x = 678.35

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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.