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Finding the Fourth Proportional to 889, 1,333.52 and 311.88

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Solution

The fourth proportional to 889, 1,333.52 and 311.88 is: 467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    889 : 1,333.52 = 311.88 : x
  2. Step 2: Convert to fraction form
    889/1,333.52 = 311.88/x
  3. Step 3: Cross multiply
    889x = 1,333.52 × 311.88
  4. Step 4: Simplify right side
    889x = 415,898.22
  5. Step 5: Solve for x
    x = 415,898.22/889
  6. Step 6: Final answer
    x = 467.83

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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.