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Finding the Fourth Proportional to 1,102.12, 1,652.75 and 321.86

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Solution

The fourth proportional to 1,102.12, 1,652.75 and 321.86 is: 482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.12 : 1,652.75 = 321.86 : x
  2. Step 2: Convert to fraction form
    1,102.12/1,652.75 = 321.86/x
  3. Step 3: Cross multiply
    1,102.12x = 1,652.75 × 321.86
  4. Step 4: Simplify right side
    1,102.12x = 531,954.12
  5. Step 5: Solve for x
    x = 531,954.12/1,102.12
  6. Step 6: Final answer
    x = 482.66

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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.