Home / 1,178.04-1,767.06-408.36

Finding the Fourth Proportional to 1,178.04, 1,767.06 and 408.36

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Solution

The fourth proportional to 1,178.04, 1,767.06 and 408.36 is: 612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.04 : 1,767.06 = 408.36 : x
  2. Step 2: Convert to fraction form
    1,178.04/1,767.06 = 408.36/x
  3. Step 3: Cross multiply
    1,178.04x = 1,767.06 × 408.36
  4. Step 4: Simplify right side
    1,178.04x = 721,596.62
  5. Step 5: Solve for x
    x = 721,596.62/1,178.04
  6. Step 6: Final answer
    x = 612.54

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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.