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Finding the Fourth Proportional to 889.43, 1,334.14 and 427.10

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Solution

The fourth proportional to 889.43, 1,334.14 and 427.10 is: 640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.43 : 1,334.14 = 427.10 : x
  2. Step 2: Convert to fraction form
    889.43/1,334.14 = 427.10/x
  3. Step 3: Cross multiply
    889.43x = 1,334.14 × 427.10
  4. Step 4: Simplify right side
    889.43x = 569,803.46
  5. Step 5: Solve for x
    x = 569,803.46/889.43
  6. Step 6: Final answer
    x = 640.64

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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.