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Finding the Fourth Proportional to 1,175.26, 1,620.97 and 703.12

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Solution

The fourth proportional to 1,175.26, 1,620.97 and 703.12 is: 969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.26 : 1,620.97 = 703.12 : x
  2. Step 2: Convert to fraction form
    1,175.26/1,620.97 = 703.12/x
  3. Step 3: Cross multiply
    1,175.26x = 1,620.97 × 703.12
  4. Step 4: Simplify right side
    1,175.26x = 1,139,730.62
  5. Step 5: Solve for x
    x = 1,139,730.62/1,175.26
  6. Step 6: Final answer
    x = 969.77

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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.