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Finding the Fourth Proportional to 590.83, 814.72 and 450.97

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Solution

The fourth proportional to 590.83, 814.72 and 450.97 is: 621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.83 : 814.72 = 450.97 : x
  2. Step 2: Convert to fraction form
    590.83/814.72 = 450.97/x
  3. Step 3: Cross multiply
    590.83x = 814.72 × 450.97
  4. Step 4: Simplify right side
    590.83x = 367,414.28
  5. Step 5: Solve for x
    x = 367,414.28/590.83
  6. Step 6: Final answer
    x = 621.86

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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.