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Finding the Fourth Proportional to 590.97, 813.38 and 450.84

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Solution

The fourth proportional to 590.97, 813.38 and 450.84 is: 620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.97 : 813.38 = 450.84 : x
  2. Step 2: Convert to fraction form
    590.97/813.38 = 450.84/x
  3. Step 3: Cross multiply
    590.97x = 813.38 × 450.84
  4. Step 4: Simplify right side
    590.97x = 366,701.99
  5. Step 5: Solve for x
    x = 366,701.99/590.97
  6. Step 6: Final answer
    x = 620.51

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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.