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Finding the Fourth Proportional to 1,212.94, 1,674.07 and 917.69

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Solution

The fourth proportional to 1,212.94, 1,674.07 and 917.69 is: 1,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.94 : 1,674.07 = 917.69 : x
  2. Step 2: Convert to fraction form
    1,212.94/1,674.07 = 917.69/x
  3. Step 3: Cross multiply
    1,212.94x = 1,674.07 × 917.69
  4. Step 4: Simplify right side
    1,212.94x = 1,536,279.19
  5. Step 5: Solve for x
    x = 1,536,279.19/1,212.94
  6. Step 6: Final answer
    x = 1,266.58

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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.