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Finding the Fourth Proportional to 711.58, 981.96 and 396.83

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Solution

The fourth proportional to 711.58, 981.96 and 396.83 is: 547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.58 : 981.96 = 396.83 : x
  2. Step 2: Convert to fraction form
    711.58/981.96 = 396.83/x
  3. Step 3: Cross multiply
    711.58x = 981.96 × 396.83
  4. Step 4: Simplify right side
    711.58x = 389,671.19
  5. Step 5: Solve for x
    x = 389,671.19/711.58
  6. Step 6: Final answer
    x = 547.61

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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.