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Finding the Fourth Proportional to 1,175.87, 1,620.96 and 926.70

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Solution

The fourth proportional to 1,175.87, 1,620.96 and 926.70 is: 1,277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.87 : 1,620.96 = 926.70 : x
  2. Step 2: Convert to fraction form
    1,175.87/1,620.96 = 926.70/x
  3. Step 3: Cross multiply
    1,175.87x = 1,620.96 × 926.70
  4. Step 4: Simplify right side
    1,175.87x = 1,502,135.53
  5. Step 5: Solve for x
    x = 1,502,135.53/1,175.87
  6. Step 6: Final answer
    x = 1,277.47

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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.