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Finding the Fourth Proportional to 589.68, 815.27 and 480.33

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Solution

The fourth proportional to 589.68, 815.27 and 480.33 is: 664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.68 : 815.27 = 480.33 : x
  2. Step 2: Convert to fraction form
    589.68/815.27 = 480.33/x
  3. Step 3: Cross multiply
    589.68x = 815.27 × 480.33
  4. Step 4: Simplify right side
    589.68x = 391,596.24
  5. Step 5: Solve for x
    x = 391,596.24/589.68
  6. Step 6: Final answer
    x = 664.08

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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.