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Finding the Fourth Proportional to 1,086.93, 1,629.18 and 469.71

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Solution

The fourth proportional to 1,086.93, 1,629.18 and 469.71 is: 704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.93 : 1,629.18 = 469.71 : x
  2. Step 2: Convert to fraction form
    1,086.93/1,629.18 = 469.71/x
  3. Step 3: Cross multiply
    1,086.93x = 1,629.18 × 469.71
  4. Step 4: Simplify right side
    1,086.93x = 765,242.14
  5. Step 5: Solve for x
    x = 765,242.14/1,086.93
  6. Step 6: Final answer
    x = 704.04

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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.