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Finding the Fourth Proportional to 1,121.76, 1,682.57 and 341.79

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Solution

The fourth proportional to 1,121.76, 1,682.57 and 341.79 is: 512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.76 : 1,682.57 = 341.79 : x
  2. Step 2: Convert to fraction form
    1,121.76/1,682.57 = 341.79/x
  3. Step 3: Cross multiply
    1,121.76x = 1,682.57 × 341.79
  4. Step 4: Simplify right side
    1,121.76x = 575,083.89
  5. Step 5: Solve for x
    x = 575,083.89/1,121.76
  6. Step 6: Final answer
    x = 512.66

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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.