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Finding the Fourth Proportional to 589.78, 814.08 and 379.99

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Solution

The fourth proportional to 589.78, 814.08 and 379.99 is: 524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 814.08 = 379.99 : x
  2. Step 2: Convert to fraction form
    589.78/814.08 = 379.99/x
  3. Step 3: Cross multiply
    589.78x = 814.08 × 379.99
  4. Step 4: Simplify right side
    589.78x = 309,342.26
  5. Step 5: Solve for x
    x = 309,342.26/589.78
  6. Step 6: Final answer
    x = 524.50

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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.