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Finding the Fourth Proportional to 889.47, 1,333.73 and 311.94

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Solution

The fourth proportional to 889.47, 1,333.73 and 311.94 is: 467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.47 : 1,333.73 = 311.94 : x
  2. Step 2: Convert to fraction form
    889.47/1,333.73 = 311.94/x
  3. Step 3: Cross multiply
    889.47x = 1,333.73 × 311.94
  4. Step 4: Simplify right side
    889.47x = 416,044.52
  5. Step 5: Solve for x
    x = 416,044.52/889.47
  6. Step 6: Final answer
    x = 467.74

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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.