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Finding the Fourth Proportional to 711.25, 981.57 and 396.56

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Solution

The fourth proportional to 711.25, 981.57 and 396.56 is: 547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.25 : 981.57 = 396.56 : x
  2. Step 2: Convert to fraction form
    711.25/981.57 = 396.56/x
  3. Step 3: Cross multiply
    711.25x = 981.57 × 396.56
  4. Step 4: Simplify right side
    711.25x = 389,253.11
  5. Step 5: Solve for x
    x = 389,253.11/711.25
  6. Step 6: Final answer
    x = 547.28

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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.