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Finding the Fourth Proportional to 1,277.40, 1,914.21 and 729.75

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Solution

The fourth proportional to 1,277.40, 1,914.21 and 729.75 is: 1,093.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.40 : 1,914.21 = 729.75 : x
  2. Step 2: Convert to fraction form
    1,277.40/1,914.21 = 729.75/x
  3. Step 3: Cross multiply
    1,277.40x = 1,914.21 × 729.75
  4. Step 4: Simplify right side
    1,277.40x = 1,396,894.75
  5. Step 5: Solve for x
    x = 1,396,894.75/1,277.40
  6. Step 6: Final answer
    x = 1,093.55

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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.