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Finding the Fourth Proportional to 1,276.22, 1,914.42 and 582.91

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Solution

The fourth proportional to 1,276.22, 1,914.42 and 582.91 is: 874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.22 : 1,914.42 = 582.91 : x
  2. Step 2: Convert to fraction form
    1,276.22/1,914.42 = 582.91/x
  3. Step 3: Cross multiply
    1,276.22x = 1,914.42 × 582.91
  4. Step 4: Simplify right side
    1,276.22x = 1,115,934.56
  5. Step 5: Solve for x
    x = 1,115,934.56/1,276.22
  6. Step 6: Final answer
    x = 874.41

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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.