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Finding the Fourth Proportional to 1,178.90, 1,769.30 and 623.82

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Solution

The fourth proportional to 1,178.90, 1,769.30 and 623.82 is: 936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.90 : 1,769.30 = 623.82 : x
  2. Step 2: Convert to fraction form
    1,178.90/1,769.30 = 623.82/x
  3. Step 3: Cross multiply
    1,178.90x = 1,769.30 × 623.82
  4. Step 4: Simplify right side
    1,178.90x = 1,103,724.73
  5. Step 5: Solve for x
    x = 1,103,724.73/1,178.90
  6. Step 6: Final answer
    x = 936.23

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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.