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Finding the Fourth Proportional to 590.62, 814.85 and 369.49

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Solution

The fourth proportional to 590.62, 814.85 and 369.49 is: 509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.62 : 814.85 = 369.49 : x
  2. Step 2: Convert to fraction form
    590.62/814.85 = 369.49/x
  3. Step 3: Cross multiply
    590.62x = 814.85 × 369.49
  4. Step 4: Simplify right side
    590.62x = 301,078.93
  5. Step 5: Solve for x
    x = 301,078.93/590.62
  6. Step 6: Final answer
    x = 509.77

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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.