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Finding the Fourth Proportional to 1,129.53, 1,694.15 and 536.41

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Solution

The fourth proportional to 1,129.53, 1,694.15 and 536.41 is: 804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.53 : 1,694.15 = 536.41 : x
  2. Step 2: Convert to fraction form
    1,129.53/1,694.15 = 536.41/x
  3. Step 3: Cross multiply
    1,129.53x = 1,694.15 × 536.41
  4. Step 4: Simplify right side
    1,129.53x = 908,759.00
  5. Step 5: Solve for x
    x = 908,759.00/1,129.53
  6. Step 6: Final answer
    x = 804.55

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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.