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Finding the Fourth Proportional to 591.27, 816.81 and 547.53

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Solution

The fourth proportional to 591.27, 816.81 and 547.53 is: 756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.27 : 816.81 = 547.53 : x
  2. Step 2: Convert to fraction form
    591.27/816.81 = 547.53/x
  3. Step 3: Cross multiply
    591.27x = 816.81 × 547.53
  4. Step 4: Simplify right side
    591.27x = 447,227.98
  5. Step 5: Solve for x
    x = 447,227.98/591.27
  6. Step 6: Final answer
    x = 756.39

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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.