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Finding the Fourth Proportional to 589.20, 812.61 and 450.11

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Solution

The fourth proportional to 589.20, 812.61 and 450.11 is: 620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.20 : 812.61 = 450.11 : x
  2. Step 2: Convert to fraction form
    589.20/812.61 = 450.11/x
  3. Step 3: Cross multiply
    589.20x = 812.61 × 450.11
  4. Step 4: Simplify right side
    589.20x = 365,759.82
  5. Step 5: Solve for x
    x = 365,759.82/589.20
  6. Step 6: Final answer
    x = 620.77

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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.