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Finding the Fourth Proportional to 1,274.11, 1,910.62 and 580.57

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Solution

The fourth proportional to 1,274.11, 1,910.62 and 580.57 is: 870.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.11 : 1,910.62 = 580.57 : x
  2. Step 2: Convert to fraction form
    1,274.11/1,910.62 = 580.57/x
  3. Step 3: Cross multiply
    1,274.11x = 1,910.62 × 580.57
  4. Step 4: Simplify right side
    1,274.11x = 1,109,248.65
  5. Step 5: Solve for x
    x = 1,109,248.65/1,274.11
  6. Step 6: Final answer
    x = 870.61

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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.