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Finding the Fourth Proportional to 1,176.63, 1,623.77 and 645.57

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Solution

The fourth proportional to 1,176.63, 1,623.77 and 645.57 is: 890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.63 : 1,623.77 = 645.57 : x
  2. Step 2: Convert to fraction form
    1,176.63/1,623.77 = 645.57/x
  3. Step 3: Cross multiply
    1,176.63x = 1,623.77 × 645.57
  4. Step 4: Simplify right side
    1,176.63x = 1,048,249.08
  5. Step 5: Solve for x
    x = 1,048,249.08/1,176.63
  6. Step 6: Final answer
    x = 890.89

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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.