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Finding the Fourth Proportional to 723.82, 999.21 and 697.85

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Solution

The fourth proportional to 723.82, 999.21 and 697.85 is: 963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.82 : 999.21 = 697.85 : x
  2. Step 2: Convert to fraction form
    723.82/999.21 = 697.85/x
  3. Step 3: Cross multiply
    723.82x = 999.21 × 697.85
  4. Step 4: Simplify right side
    723.82x = 697,302.32
  5. Step 5: Solve for x
    x = 697,302.32/723.82
  6. Step 6: Final answer
    x = 963.36

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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.