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Finding the Fourth Proportional to 590.13, 814.37 and 415.84

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Solution

The fourth proportional to 590.13, 814.37 and 415.84 is: 573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.13 : 814.37 = 415.84 : x
  2. Step 2: Convert to fraction form
    590.13/814.37 = 415.84/x
  3. Step 3: Cross multiply
    590.13x = 814.37 × 415.84
  4. Step 4: Simplify right side
    590.13x = 338,647.62
  5. Step 5: Solve for x
    x = 338,647.62/590.13
  6. Step 6: Final answer
    x = 573.85

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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.