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Finding the Fourth Proportional to 590.14, 881.82 and 450.55

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Solution

The fourth proportional to 590.14, 881.82 and 450.55 is: 673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.14 : 881.82 = 450.55 : x
  2. Step 2: Convert to fraction form
    590.14/881.82 = 450.55/x
  3. Step 3: Cross multiply
    590.14x = 881.82 × 450.55
  4. Step 4: Simplify right side
    590.14x = 397,297.34
  5. Step 5: Solve for x
    x = 397,297.34/590.14
  6. Step 6: Final answer
    x = 673.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.