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Finding the Fourth Proportional to 589.77, 884.66 and 518.09

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Solution

The fourth proportional to 589.77, 884.66 and 518.09 is: 777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.77 : 884.66 = 518.09 : x
  2. Step 2: Convert to fraction form
    589.77/884.66 = 518.09/x
  3. Step 3: Cross multiply
    589.77x = 884.66 × 518.09
  4. Step 4: Simplify right side
    589.77x = 458,326.49
  5. Step 5: Solve for x
    x = 458,326.49/589.77
  6. Step 6: Final answer
    x = 777.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.