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Finding the Fourth Proportional to 589.80, 887.66 and 444.31

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Solution

The fourth proportional to 589.80, 887.66 and 444.31 is: 668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.80 : 887.66 = 444.31 : x
  2. Step 2: Convert to fraction form
    589.80/887.66 = 444.31/x
  3. Step 3: Cross multiply
    589.80x = 887.66 × 444.31
  4. Step 4: Simplify right side
    589.80x = 394,396.21
  5. Step 5: Solve for x
    x = 394,396.21/589.80
  6. Step 6: Final answer
    x = 668.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.