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Finding the Fourth Proportional to 725.45, 998.10 and 705.02

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Solution

The fourth proportional to 725.45, 998.10 and 705.02 is: 969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.45 : 998.10 = 705.02 : x
  2. Step 2: Convert to fraction form
    725.45/998.10 = 705.02/x
  3. Step 3: Cross multiply
    725.45x = 998.10 × 705.02
  4. Step 4: Simplify right side
    725.45x = 703,675.47
  5. Step 5: Solve for x
    x = 703,675.47/725.45
  6. Step 6: Final answer
    x = 969.99

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1.5x scale

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.