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Finding the Fourth Proportional to 1,176.77, 1,623.90 and 645.65

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Solution

The fourth proportional to 1,176.77, 1,623.90 and 645.65 is: 890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.77 : 1,623.90 = 645.65 : x
  2. Step 2: Convert to fraction form
    1,176.77/1,623.90 = 645.65/x
  3. Step 3: Cross multiply
    1,176.77x = 1,623.90 × 645.65
  4. Step 4: Simplify right side
    1,176.77x = 1,048,471.04
  5. Step 5: Solve for x
    x = 1,048,471.04/1,176.77
  6. Step 6: Final answer
    x = 890.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.