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Finding the Fourth Proportional to 723.94, 993.80 and 705.82

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Solution

The fourth proportional to 723.94, 993.80 and 705.82 is: 968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.94 : 993.80 = 705.82 : x
  2. Step 2: Convert to fraction form
    723.94/993.80 = 705.82/x
  3. Step 3: Cross multiply
    723.94x = 993.80 × 705.82
  4. Step 4: Simplify right side
    723.94x = 701,443.92
  5. Step 5: Solve for x
    x = 701,443.92/723.94
  6. Step 6: Final answer
    x = 968.93

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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.