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Finding the Fourth Proportional to 892.44, 1,332.38 and 770.64

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Solution

The fourth proportional to 892.44, 1,332.38 and 770.64 is: 1,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.44 : 1,332.38 = 770.64 : x
  2. Step 2: Convert to fraction form
    892.44/1,332.38 = 770.64/x
  3. Step 3: Cross multiply
    892.44x = 1,332.38 × 770.64
  4. Step 4: Simplify right side
    892.44x = 1,026,781.47
  5. Step 5: Solve for x
    x = 1,026,781.47/892.44
  6. Step 6: Final answer
    x = 1,150.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.