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Finding the Fourth Proportional to 777.73, 1,165.57 and 412.42

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Solution

The fourth proportional to 777.73, 1,165.57 and 412.42 is: 618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.73 : 1,165.57 = 412.42 : x
  2. Step 2: Convert to fraction form
    777.73/1,165.57 = 412.42/x
  3. Step 3: Cross multiply
    777.73x = 1,165.57 × 412.42
  4. Step 4: Simplify right side
    777.73x = 480,704.38
  5. Step 5: Solve for x
    x = 480,704.38/777.73
  6. Step 6: Final answer
    x = 618.09

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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.