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Finding the Fourth Proportional to 1,176.65, 1,766.03 and 629.30

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Solution

The fourth proportional to 1,176.65, 1,766.03 and 629.30 is: 944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.65 : 1,766.03 = 629.30 : x
  2. Step 2: Convert to fraction form
    1,176.65/1,766.03 = 629.30/x
  3. Step 3: Cross multiply
    1,176.65x = 1,766.03 × 629.30
  4. Step 4: Simplify right side
    1,176.65x = 1,111,362.68
  5. Step 5: Solve for x
    x = 1,111,362.68/1,176.65
  6. Step 6: Final answer
    x = 944.51

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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.