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Finding the Fourth Proportional to 589.07, 882.64 and 311.41

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Solution

The fourth proportional to 589.07, 882.64 and 311.41 is: 466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.07 : 882.64 = 311.41 : x
  2. Step 2: Convert to fraction form
    589.07/882.64 = 311.41/x
  3. Step 3: Cross multiply
    589.07x = 882.64 × 311.41
  4. Step 4: Simplify right side
    589.07x = 274,859.29
  5. Step 5: Solve for x
    x = 274,859.29/589.07
  6. Step 6: Final answer
    x = 466.60

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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.