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Finding the Fourth Proportional to 1,169.66, 1,613.91 and 645.68

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Solution

The fourth proportional to 1,169.66, 1,613.91 and 645.68 is: 890.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.66 : 1,613.91 = 645.68 : x
  2. Step 2: Convert to fraction form
    1,169.66/1,613.91 = 645.68/x
  3. Step 3: Cross multiply
    1,169.66x = 1,613.91 × 645.68
  4. Step 4: Simplify right side
    1,169.66x = 1,042,069.41
  5. Step 5: Solve for x
    x = 1,042,069.41/1,169.66
  6. Step 6: Final answer
    x = 890.92

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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.