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Finding the Fourth Proportional to 889.61, 1,334.57 and 341.84

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Solution

The fourth proportional to 889.61, 1,334.57 and 341.84 is: 512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.61 : 1,334.57 = 341.84 : x
  2. Step 2: Convert to fraction form
    889.61/1,334.57 = 341.84/x
  3. Step 3: Cross multiply
    889.61x = 1,334.57 × 341.84
  4. Step 4: Simplify right side
    889.61x = 456,201.03
  5. Step 5: Solve for x
    x = 456,201.03/889.61
  6. Step 6: Final answer
    x = 512.81

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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.