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Finding the Fourth Proportional to 591.31, 814.98 and 443.69

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Solution

The fourth proportional to 591.31, 814.98 and 443.69 is: 611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.31 : 814.98 = 443.69 : x
  2. Step 2: Convert to fraction form
    591.31/814.98 = 443.69/x
  3. Step 3: Cross multiply
    591.31x = 814.98 × 443.69
  4. Step 4: Simplify right side
    591.31x = 361,596.07
  5. Step 5: Solve for x
    x = 361,596.07/591.31
  6. Step 6: Final answer
    x = 611.52

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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.