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Finding the Fourth Proportional to 591.13, 814.49 and 451.00

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Solution

The fourth proportional to 591.13, 814.49 and 451.00 is: 621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.13 : 814.49 = 451.00 : x
  2. Step 2: Convert to fraction form
    591.13/814.49 = 451.00/x
  3. Step 3: Cross multiply
    591.13x = 814.49 × 451.00
  4. Step 4: Simplify right side
    591.13x = 367,335.44
  5. Step 5: Solve for x
    x = 367,335.44/591.13
  6. Step 6: Final answer
    x = 621.41

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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.