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Finding the Fourth Proportional to 590.84, 814.40 and 520.44

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Solution

The fourth proportional to 590.84, 814.40 and 520.44 is: 717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.84 : 814.40 = 520.44 : x
  2. Step 2: Convert to fraction form
    590.84/814.40 = 520.44/x
  3. Step 3: Cross multiply
    590.84x = 814.40 × 520.44
  4. Step 4: Simplify right side
    590.84x = 423,843.73
  5. Step 5: Solve for x
    x = 423,843.73/590.84
  6. Step 6: Final answer
    x = 717.36

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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.