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Finding the Fourth Proportional to 589.32, 884.52 and 311.92

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Solution

The fourth proportional to 589.32, 884.52 and 311.92 is: 468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.32 : 884.52 = 311.92 : x
  2. Step 2: Convert to fraction form
    589.32/884.52 = 311.92/x
  3. Step 3: Cross multiply
    589.32x = 884.52 × 311.92
  4. Step 4: Simplify right side
    589.32x = 275,899.48
  5. Step 5: Solve for x
    x = 275,899.48/589.32
  6. Step 6: Final answer
    x = 468.17

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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.