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Finding the Fourth Proportional to 590.33, 882.11 and 450.74

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Solution

The fourth proportional to 590.33, 882.11 and 450.74 is: 673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.33 : 882.11 = 450.74 : x
  2. Step 2: Convert to fraction form
    590.33/882.11 = 450.74/x
  3. Step 3: Cross multiply
    590.33x = 882.11 × 450.74
  4. Step 4: Simplify right side
    590.33x = 397,595.60
  5. Step 5: Solve for x
    x = 397,595.60/590.33
  6. Step 6: Final answer
    x = 673.52

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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.