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Finding the Fourth Proportional to 590.22, 812.34 and 450.09

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Solution

The fourth proportional to 590.22, 812.34 and 450.09 is: 619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.22 : 812.34 = 450.09 : x
  2. Step 2: Convert to fraction form
    590.22/812.34 = 450.09/x
  3. Step 3: Cross multiply
    590.22x = 812.34 × 450.09
  4. Step 4: Simplify right side
    590.22x = 365,626.11
  5. Step 5: Solve for x
    x = 365,626.11/590.22
  6. Step 6: Final answer
    x = 619.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.