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Finding the Fourth Proportional to 1,277.11, 1,913.94 and 691.33

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Solution

The fourth proportional to 1,277.11, 1,913.94 and 691.33 is: 1,036.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.11 : 1,913.94 = 691.33 : x
  2. Step 2: Convert to fraction form
    1,277.11/1,913.94 = 691.33/x
  3. Step 3: Cross multiply
    1,277.11x = 1,913.94 × 691.33
  4. Step 4: Simplify right side
    1,277.11x = 1,323,164.14
  5. Step 5: Solve for x
    x = 1,323,164.14/1,277.11
  6. Step 6: Final answer
    x = 1,036.06

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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.