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Finding the Fourth Proportional to 589.14, 814.77 and 515.33

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Solution

The fourth proportional to 589.14, 814.77 and 515.33 is: 712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.14 : 814.77 = 515.33 : x
  2. Step 2: Convert to fraction form
    589.14/814.77 = 515.33/x
  3. Step 3: Cross multiply
    589.14x = 814.77 × 515.33
  4. Step 4: Simplify right side
    589.14x = 419,871.35
  5. Step 5: Solve for x
    x = 419,871.35/589.14
  6. Step 6: Final answer
    x = 712.69

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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.