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Finding the Fourth Proportional to 874.20, 1,304.49 and 796.58

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Solution

The fourth proportional to 874.20, 1,304.49 and 796.58 is: 1,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.20 : 1,304.49 = 796.58 : x
  2. Step 2: Convert to fraction form
    874.20/1,304.49 = 796.58/x
  3. Step 3: Cross multiply
    874.20x = 1,304.49 × 796.58
  4. Step 4: Simplify right side
    874.20x = 1,039,130.64
  5. Step 5: Solve for x
    x = 1,039,130.64/874.20
  6. Step 6: Final answer
    x = 1,188.66

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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.