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Finding the Fourth Proportional to 590.10, 884.34 and 445.68

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Solution

The fourth proportional to 590.10, 884.34 and 445.68 is: 667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.10 : 884.34 = 445.68 : x
  2. Step 2: Convert to fraction form
    590.10/884.34 = 445.68/x
  3. Step 3: Cross multiply
    590.10x = 884.34 × 445.68
  4. Step 4: Simplify right side
    590.10x = 394,132.65
  5. Step 5: Solve for x
    x = 394,132.65/590.10
  6. Step 6: Final answer
    x = 667.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.