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Finding the Fourth Proportional to 825.04, 1,231.64 and 770.44

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Solution

The fourth proportional to 825.04, 1,231.64 and 770.44 is: 1,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.04 : 1,231.64 = 770.44 : x
  2. Step 2: Convert to fraction form
    825.04/1,231.64 = 770.44/x
  3. Step 3: Cross multiply
    825.04x = 1,231.64 × 770.44
  4. Step 4: Simplify right side
    825.04x = 948,904.72
  5. Step 5: Solve for x
    x = 948,904.72/825.04
  6. Step 6: Final answer
    x = 1,150.13

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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.