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Finding the Fourth Proportional to 889.78, 1,334.43 and 427.87

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Solution

The fourth proportional to 889.78, 1,334.43 and 427.87 is: 641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.78 : 1,334.43 = 427.87 : x
  2. Step 2: Convert to fraction form
    889.78/1,334.43 = 427.87/x
  3. Step 3: Cross multiply
    889.78x = 1,334.43 × 427.87
  4. Step 4: Simplify right side
    889.78x = 570,962.56
  5. Step 5: Solve for x
    x = 570,962.56/889.78
  6. Step 6: Final answer
    x = 641.69

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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.