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Finding the Fourth Proportional to 719.07, 996.59 and 706.11

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Solution

The fourth proportional to 719.07, 996.59 and 706.11 is: 978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.07 : 996.59 = 706.11 : x
  2. Step 2: Convert to fraction form
    719.07/996.59 = 706.11/x
  3. Step 3: Cross multiply
    719.07x = 996.59 × 706.11
  4. Step 4: Simplify right side
    719.07x = 703,703.93
  5. Step 5: Solve for x
    x = 703,703.93/719.07
  6. Step 6: Final answer
    x = 978.63

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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.