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Finding the Fourth Proportional to 1,086.54, 1,629.20 and 469.86

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Solution

The fourth proportional to 1,086.54, 1,629.20 and 469.86 is: 704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.54 : 1,629.20 = 469.86 : x
  2. Step 2: Convert to fraction form
    1,086.54/1,629.20 = 469.86/x
  3. Step 3: Cross multiply
    1,086.54x = 1,629.20 × 469.86
  4. Step 4: Simplify right side
    1,086.54x = 765,485.42
  5. Step 5: Solve for x
    x = 765,485.42/1,086.54
  6. Step 6: Final answer
    x = 704.52

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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.