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Finding the Fourth Proportional to 889.60, 1,330.84 and 769.16

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Solution

The fourth proportional to 889.60, 1,330.84 and 769.16 is: 1,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.60 : 1,330.84 = 769.16 : x
  2. Step 2: Convert to fraction form
    889.60/1,330.84 = 769.16/x
  3. Step 3: Cross multiply
    889.60x = 1,330.84 × 769.16
  4. Step 4: Simplify right side
    889.60x = 1,023,628.89
  5. Step 5: Solve for x
    x = 1,023,628.89/889.60
  6. Step 6: Final answer
    x = 1,150.66

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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.