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Finding the Fourth Proportional to 1,669.93, 2,505.80 and 745.45

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Solution

The fourth proportional to 1,669.93, 2,505.80 and 745.45 is: 1,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.93 : 2,505.80 = 745.45 : x
  2. Step 2: Convert to fraction form
    1,669.93/2,505.80 = 745.45/x
  3. Step 3: Cross multiply
    1,669.93x = 2,505.80 × 745.45
  4. Step 4: Simplify right side
    1,669.93x = 1,867,944.21
  5. Step 5: Solve for x
    x = 1,867,944.21/1,669.93
  6. Step 6: Final answer
    x = 1,118.58

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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.