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Finding the Fourth Proportional to 711.99, 981.72 and 633.62

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Solution

The fourth proportional to 711.99, 981.72 and 633.62 is: 873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.99 : 981.72 = 633.62 : x
  2. Step 2: Convert to fraction form
    711.99/981.72 = 633.62/x
  3. Step 3: Cross multiply
    711.99x = 981.72 × 633.62
  4. Step 4: Simplify right side
    711.99x = 622,039.88
  5. Step 5: Solve for x
    x = 622,039.88/711.99
  6. Step 6: Final answer
    x = 873.66

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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.