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Finding the Fourth Proportional to 1,103.60, 1,655.38 and 445.47

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Solution

The fourth proportional to 1,103.60, 1,655.38 and 445.47 is: 668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.60 : 1,655.38 = 445.47 : x
  2. Step 2: Convert to fraction form
    1,103.60/1,655.38 = 445.47/x
  3. Step 3: Cross multiply
    1,103.60x = 1,655.38 × 445.47
  4. Step 4: Simplify right side
    1,103.60x = 737,413.85
  5. Step 5: Solve for x
    x = 737,413.85/1,103.60
  6. Step 6: Final answer
    x = 668.19

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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.