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Finding the Fourth Proportional to 727.02, 997.56 and 720.14

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Solution

The fourth proportional to 727.02, 997.56 and 720.14 is: 988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.02 : 997.56 = 720.14 : x
  2. Step 2: Convert to fraction form
    727.02/997.56 = 720.14/x
  3. Step 3: Cross multiply
    727.02x = 997.56 × 720.14
  4. Step 4: Simplify right side
    727.02x = 718,377.87
  5. Step 5: Solve for x
    x = 718,377.87/727.02
  6. Step 6: Final answer
    x = 988.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.