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Finding the Fourth Proportional to 589.89, 884.94 and 265.49

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Solution

The fourth proportional to 589.89, 884.94 and 265.49 is: 398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.89 : 884.94 = 265.49 : x
  2. Step 2: Convert to fraction form
    589.89/884.94 = 265.49/x
  3. Step 3: Cross multiply
    589.89x = 884.94 × 265.49
  4. Step 4: Simplify right side
    589.89x = 234,942.72
  5. Step 5: Solve for x
    x = 234,942.72/589.89
  6. Step 6: Final answer
    x = 398.28

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1.5x scale

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.