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Finding the Fourth Proportional to 1,175.84, 1,763.32 and 445.64

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Solution

The fourth proportional to 1,175.84, 1,763.32 and 445.64 is: 668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.84 : 1,763.32 = 445.64 : x
  2. Step 2: Convert to fraction form
    1,175.84/1,763.32 = 445.64/x
  3. Step 3: Cross multiply
    1,175.84x = 1,763.32 × 445.64
  4. Step 4: Simplify right side
    1,175.84x = 785,805.92
  5. Step 5: Solve for x
    x = 785,805.92/1,175.84
  6. Step 6: Final answer
    x = 668.29

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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.