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Finding the Fourth Proportional to 590.68, 814.21 and 450.35

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Solution

The fourth proportional to 590.68, 814.21 and 450.35 is: 620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.68 : 814.21 = 450.35 : x
  2. Step 2: Convert to fraction form
    590.68/814.21 = 450.35/x
  3. Step 3: Cross multiply
    590.68x = 814.21 × 450.35
  4. Step 4: Simplify right side
    590.68x = 366,679.47
  5. Step 5: Solve for x
    x = 366,679.47/590.68
  6. Step 6: Final answer
    x = 620.78

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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.