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Finding the Fourth Proportional to 1,261.22, 1,891.77 and 383.74

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Solution

The fourth proportional to 1,261.22, 1,891.77 and 383.74 is: 575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.22 : 1,891.77 = 383.74 : x
  2. Step 2: Convert to fraction form
    1,261.22/1,891.77 = 383.74/x
  3. Step 3: Cross multiply
    1,261.22x = 1,891.77 × 383.74
  4. Step 4: Simplify right side
    1,261.22x = 725,941.65
  5. Step 5: Solve for x
    x = 725,941.65/1,261.22
  6. Step 6: Final answer
    x = 575.59

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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.