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Finding the Fourth Proportional to 1,100.87, 1,650.38 and 515.58

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Solution

The fourth proportional to 1,100.87, 1,650.38 and 515.58 is: 772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.87 : 1,650.38 = 515.58 : x
  2. Step 2: Convert to fraction form
    1,100.87/1,650.38 = 515.58/x
  3. Step 3: Cross multiply
    1,100.87x = 1,650.38 × 515.58
  4. Step 4: Simplify right side
    1,100.87x = 850,904.21
  5. Step 5: Solve for x
    x = 850,904.21/1,100.87
  6. Step 6: Final answer
    x = 772.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.