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Finding the Fourth Proportional to 889.07, 1,333.24 and 311.75

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Solution

The fourth proportional to 889.07, 1,333.24 and 311.75 is: 467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.07 : 1,333.24 = 311.75 : x
  2. Step 2: Convert to fraction form
    889.07/1,333.24 = 311.75/x
  3. Step 3: Cross multiply
    889.07x = 1,333.24 × 311.75
  4. Step 4: Simplify right side
    889.07x = 415,637.57
  5. Step 5: Solve for x
    x = 415,637.57/889.07
  6. Step 6: Final answer
    x = 467.50

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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.