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Finding the Fourth Proportional to 885.28, 1,321.49 and 770.56

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Solution

The fourth proportional to 885.28, 1,321.49 and 770.56 is: 1,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.28 : 1,321.49 = 770.56 : x
  2. Step 2: Convert to fraction form
    885.28/1,321.49 = 770.56/x
  3. Step 3: Cross multiply
    885.28x = 1,321.49 × 770.56
  4. Step 4: Simplify right side
    885.28x = 1,018,287.33
  5. Step 5: Solve for x
    x = 1,018,287.33/885.28
  6. Step 6: Final answer
    x = 1,150.24

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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.