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Finding the Fourth Proportional to 1,081.21, 1,621.92 and 350.86

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Solution

The fourth proportional to 1,081.21, 1,621.92 and 350.86 is: 526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.21 : 1,621.92 = 350.86 : x
  2. Step 2: Convert to fraction form
    1,081.21/1,621.92 = 350.86/x
  3. Step 3: Cross multiply
    1,081.21x = 1,621.92 × 350.86
  4. Step 4: Simplify right side
    1,081.21x = 569,066.85
  5. Step 5: Solve for x
    x = 569,066.85/1,081.21
  6. Step 6: Final answer
    x = 526.32

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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.