Home / 1,086.24-1,629.60-469.92

Finding the Fourth Proportional to 1,086.24, 1,629.60 and 469.92

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Solution

The fourth proportional to 1,086.24, 1,629.60 and 469.92 is: 704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.24 : 1,629.60 = 469.92 : x
  2. Step 2: Convert to fraction form
    1,086.24/1,629.60 = 469.92/x
  3. Step 3: Cross multiply
    1,086.24x = 1,629.60 × 469.92
  4. Step 4: Simplify right side
    1,086.24x = 765,781.63
  5. Step 5: Solve for x
    x = 765,781.63/1,086.24
  6. Step 6: Final answer
    x = 704.98

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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.