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Finding the Fourth Proportional to 1,367.59, 1,888.77 and 926.68

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Solution

The fourth proportional to 1,367.59, 1,888.77 and 926.68 is: 1,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.59 : 1,888.77 = 926.68 : x
  2. Step 2: Convert to fraction form
    1,367.59/1,888.77 = 926.68/x
  3. Step 3: Cross multiply
    1,367.59x = 1,888.77 × 926.68
  4. Step 4: Simplify right side
    1,367.59x = 1,750,285.38
  5. Step 5: Solve for x
    x = 1,750,285.38/1,367.59
  6. Step 6: Final answer
    x = 1,279.83

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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.