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Finding the Fourth Proportional to 589.90, 885.41 and 281.97

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Solution

The fourth proportional to 589.90, 885.41 and 281.97 is: 423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.90 : 885.41 = 281.97 : x
  2. Step 2: Convert to fraction form
    589.90/885.41 = 281.97/x
  3. Step 3: Cross multiply
    589.90x = 885.41 × 281.97
  4. Step 4: Simplify right side
    589.90x = 249,659.06
  5. Step 5: Solve for x
    x = 249,659.06/589.90
  6. Step 6: Final answer
    x = 423.22

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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.