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Finding the Fourth Proportional to 590.05, 814.55 and 369.33

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Solution

The fourth proportional to 590.05, 814.55 and 369.33 is: 509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.05 : 814.55 = 369.33 : x
  2. Step 2: Convert to fraction form
    590.05/814.55 = 369.33/x
  3. Step 3: Cross multiply
    590.05x = 814.55 × 369.33
  4. Step 4: Simplify right side
    590.05x = 300,837.75
  5. Step 5: Solve for x
    x = 300,837.75/590.05
  6. Step 6: Final answer
    x = 509.85

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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.