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Finding the Fourth Proportional to 591.98, 817.23 and 371.06

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Solution

The fourth proportional to 591.98, 817.23 and 371.06 is: 512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.98 : 817.23 = 371.06 : x
  2. Step 2: Convert to fraction form
    591.98/817.23 = 371.06/x
  3. Step 3: Cross multiply
    591.98x = 817.23 × 371.06
  4. Step 4: Simplify right side
    591.98x = 303,237.28
  5. Step 5: Solve for x
    x = 303,237.28/591.98
  6. Step 6: Final answer
    x = 512.24

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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.