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Finding the Fourth Proportional to 1,100.72, 1,650.53 and 369.77

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Solution

The fourth proportional to 1,100.72, 1,650.53 and 369.77 is: 554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.72 : 1,650.53 = 369.77 : x
  2. Step 2: Convert to fraction form
    1,100.72/1,650.53 = 369.77/x
  3. Step 3: Cross multiply
    1,100.72x = 1,650.53 × 369.77
  4. Step 4: Simplify right side
    1,100.72x = 610,309.15
  5. Step 5: Solve for x
    x = 610,309.15/1,100.72
  6. Step 6: Final answer
    x = 554.46

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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.