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Finding the Fourth Proportional to 719.92, 997.25 and 705.34

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Solution

The fourth proportional to 719.92, 997.25 and 705.34 is: 977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.92 : 997.25 = 705.34 : x
  2. Step 2: Convert to fraction form
    719.92/997.25 = 705.34/x
  3. Step 3: Cross multiply
    719.92x = 997.25 × 705.34
  4. Step 4: Simplify right side
    719.92x = 703,400.32
  5. Step 5: Solve for x
    x = 703,400.32/719.92
  6. Step 6: Final answer
    x = 977.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.