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Finding the Fourth Proportional to 1,274.38, 1,909.76 and 579.33

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Solution

The fourth proportional to 1,274.38, 1,909.76 and 579.33 is: 868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.38 : 1,909.76 = 579.33 : x
  2. Step 2: Convert to fraction form
    1,274.38/1,909.76 = 579.33/x
  3. Step 3: Cross multiply
    1,274.38x = 1,909.76 × 579.33
  4. Step 4: Simplify right side
    1,274.38x = 1,106,378.36
  5. Step 5: Solve for x
    x = 1,106,378.36/1,274.38
  6. Step 6: Final answer
    x = 868.17

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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.