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Finding the Fourth Proportional to 1,169.09, 1,752.82 and 438.47

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Solution

The fourth proportional to 1,169.09, 1,752.82 and 438.47 is: 657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.09 : 1,752.82 = 438.47 : x
  2. Step 2: Convert to fraction form
    1,169.09/1,752.82 = 438.47/x
  3. Step 3: Cross multiply
    1,169.09x = 1,752.82 × 438.47
  4. Step 4: Simplify right side
    1,169.09x = 768,558.99
  5. Step 5: Solve for x
    x = 768,558.99/1,169.09
  6. Step 6: Final answer
    x = 657.40

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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.